Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 652/636, 7476/404 quickly i.e. 304647 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 652/636, 7476/404 is 304647.
LCM(652/636, 7476/404) = 304647
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 652/636,7476/404
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 652,7476
Least Common Multiple of Numerators i.e. LCM of 652,7476 is 1218588.
GCF of Denominators means GCF of 636,404 as per the given fractions.
GCF of 636,404 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 652,7476
2 | 652, 7476 |
2 | 326, 3738 |
163, 1869 |
∴ So the LCM of the given numbers is 2 x 2 x 163 x 1869 = 1218588
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 652,7476 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(652,7476) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(652,7476) x common factors =4 x 1 = 4
LCM(652,7476) = ( 652 × 7476 ) / 4
LCM(652,7476) = 4874352 / 4
LCM(652,7476) = 1218588
Lets's calculate GCF of 636,404
2 | 636, 404 |
2 | 318, 202 |
159, 101 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1218588/4
Therefore the LCM of Fractions 652/636,7476/404 is 304647
Factors of 636
List of positive integer factors of 636 that divides 636 without a remainder.
1,2,3,4,6,12,53,106,159,212,318,636
Factors of 404
List of positive integer factors of 404 that divides 404 without a remainder.
1,2,4,101,202,404
Greatest Common Factor
We found the factors 636,404 . The biggest common factor number is the GCF number.
So the greatest common factor 636,404 is 4.
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 652/636, 7476/404?
Answer: LCM of Numerators as per given numbers 652/636, 7476/404 is
LCM of Numerators i.e. for 652,7476 is 1218588
GCF of denominators i.e. for 636,404 is 4.
Thus, LCM of Fractions is 304647.Finally, LCM of Fractions for 652/636, 7476/404 is 304647.