Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 637/264, 4748/506 quickly i.e. 3024476/22 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 637/264, 4748/506 is 3024476/22.
LCM(637/264, 4748/506) = 3024476/22
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 637/264,4748/506
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 637,4748
Least Common Multiple of Numerators i.e. LCM of 637,4748 is 3024476.
GCF of Denominators means GCF of 264,506 as per the given fractions.
GCF of 264,506 is 22 as it is the largest common factor for these numbers.
Lets's calculate LCM of 637,4748
Given numbers has no common factors except 1. So, there LCM is their product i.e 3024476
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 637,4748 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(637,4748) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(637,4748) x common factors =1 x 1 = 1
LCM(637,4748) = ( 637 × 4748 ) / 1
LCM(637,4748) = 3024476 / 1
LCM(637,4748) = 3024476
Lets's calculate GCF of 264,506
2 | 264, 506 |
11 | 132, 253 |
12, 23 |
∴ So the GCF of the given numbers is 2 x 11 = 22
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3024476/22
Therefore the LCM of Fractions 637/264,4748/506 is 3024476/22
Factors of 264
List of positive integer factors of 264 that divides 264 without a remainder.
1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264
Factors of 506
List of positive integer factors of 506 that divides 506 without a remainder.
1,2,11,22,23,46,253,506
Greatest Common Factor
We found the factors 264,506 . The biggest common factor number is the GCF number.
So the greatest common factor 264,506 is 22.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 637/264, 4748/506?
Answer: LCM of Numerators as per given numbers 637/264, 4748/506 is
LCM of Numerators i.e. for 637,4748 is 3024476
GCF of denominators i.e. for 264,506 is 22.
Thus, LCM of Fractions is 3024476/22.Finally, LCM of Fractions for 637/264, 4748/506 is 3024476/22.