Question
Find the LCM for the fractions and .
- 10
- 15
- 20
- 30
Hint:
In this question we have to find the LCM of and . For finding the LCM of the fraction we have to find the Least Common Divisor of and .We have to find the least common denominator and for that we have to find the least common multiple of denominators. Least Common Denominator (LCD) is the least common multiple of denominator of a set of fractions. The method of calculating the LCD is same as calculation of Least Common Multiple of fractions denominators. The least common multiple (LCM) of two numbers is the lowest possible number that can be divisible by both numbers.
The correct answer is: 30
The least common denominator is the lowest common multiple of the denominators of a set of fractions.
Step1: We are given fractions and
And we have to find the LCM of denominators of the fractions i.e. and
Step2: We know that Multiples of are:
And the multiples of are:
Step3: Now we have to find the LCM of
From the above multiples of and it can be easily seen that the least common multiple of is
Hence the least common denominator of and is 30. Hence the LCM of and is .
Related Questions to study
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Make use of area model to determine the value of 441 ÷ 21.
We know that division is repetitive subtraction. So, we can subtract 21 from 441 again and again till we reach 0.
Make use of area model to determine the value of 441 ÷ 21.
We know that division is repetitive subtraction. So, we can subtract 21 from 441 again and again till we reach 0.
Make use of area model to determine the value of 6248 ÷ 71.
We know that division is repetitive subtraction. So, we can subtract 71 from 6248 again and again till we reach 0.
Make use of area model to determine the value of 6248 ÷ 71.
We know that division is repetitive subtraction. So, we can subtract 71 from 6248 again and again till we reach 0.
5750 passengers are waiting in the airport to board a plane. Each plane can carry 250 passengers in a trip. The number of trips it requires to clear out all the passengers are
We know that division is repetitive subtraction. So, we can subtract 250 from 5750 again and again till we reach zero.
5750 passengers are waiting in the airport to board a plane. Each plane can carry 250 passengers in a trip. The number of trips it requires to clear out all the passengers are
We know that division is repetitive subtraction. So, we can subtract 250 from 5750 again and again till we reach zero.
Make use of area model to determine the value of 510 ÷ 30.
Division in maths is the process of breaking a number up into equal parts, and finding out how many equal parts can be made.
Make use of area model to determine the value of 510 ÷ 30.
Division in maths is the process of breaking a number up into equal parts, and finding out how many equal parts can be made.
Make use of the area model to determine the value of 3136 ÷ 64.
We can also it by simple division. As, Division in maths is the process of breaking a number up into equal parts, and finding out how many equal parts can be made.
Make use of the area model to determine the value of 3136 ÷ 64.
We can also it by simple division. As, Division in maths is the process of breaking a number up into equal parts, and finding out how many equal parts can be made.
A teacher places 50 books onto the shelves. If each shelf can hold 10 books, then the number of shelves the teacher can fill is __________.
Division is a repeated subtraction.
A teacher places 50 books onto the shelves. If each shelf can hold 10 books, then the number of shelves the teacher can fill is __________.
Division is a repeated subtraction.