Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6700/636, 1281/9509 quickly i.e. 8582700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6700/636, 1281/9509 is 8582700.
LCM(6700/636, 1281/9509) = 8582700
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6700/636,1281/9509
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 6700,1281
Least Common Multiple of Numerators i.e. LCM of 6700,1281 is 8582700.
GCF of Denominators means GCF of 636,9509 as per the given fractions.
GCF of 636,9509 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6700,1281
Given numbers has no common factors except 1. So, there LCM is their product i.e 8582700
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 6700,1281 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6700,1281) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(6700,1281) x common factors =1 x 1 = 1
LCM(6700,1281) = ( 6700 × 1281 ) / 1
LCM(6700,1281) = 8582700 / 1
LCM(6700,1281) = 8582700
Lets's calculate GCF of 636,9509
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8582700/1
Therefore the LCM of Fractions 6700/636,1281/9509 is 8582700
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 9509
List of positive integer factors of 9509 that divides 9509 without a remainder.
1,37,257,9509
Greatest Common Factor
We found the factors 636,9509 . The biggest common factor number is the GCF number.
So the greatest common factor 636,9509 is 1.
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 6700/636, 1281/9509?
Answer: LCM of Numerators as per given numbers 6700/636, 1281/9509 is
LCM of Numerators i.e. for 6700,1281 is 8582700
GCF of denominators i.e. for 636,9509 is 1.
Thus, LCM of Fractions is 8582700.Finally, LCM of Fractions for 6700/636, 1281/9509 is 8582700.