Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7955/708, 6564/381 quickly i.e. 17405540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7955/708, 6564/381 is 17405540.
LCM(7955/708, 6564/381) = 17405540
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7955/708,6564/381
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 7955,6564
Least Common Multiple of Numerators i.e. LCM of 7955,6564 is 52216620.
GCF of Denominators means GCF of 708,381 as per the given fractions.
GCF of 708,381 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7955,6564
Given numbers has no common factors except 1. So, there LCM is their product i.e 52216620
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 7955,6564 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7955,6564) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7955,6564) x common factors =1 x 1 = 1
LCM(7955,6564) = ( 7955 × 6564 ) / 1
LCM(7955,6564) = 52216620 / 1
LCM(7955,6564) = 52216620
Lets's calculate GCF of 708,381
3 | 708, 381 |
236, 127 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 52216620/3
Therefore the LCM of Fractions 7955/708,6564/381 is 17405540
Factors of 708
List of positive integer factors of 708 that divides 708 without a remainder.
1,2,3,4,6,12,59,118,177,236,354,708
Factors of 381
List of positive integer factors of 381 that divides 381 without a remainder.
1,3,127,381
Greatest Common Factor
We found the factors 708,381 . The biggest common factor number is the GCF number.
So the greatest common factor 708,381 is 3.
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 7955/708, 6564/381?
Answer: LCM of Numerators as per given numbers 7955/708, 6564/381 is
LCM of Numerators i.e. for 7955,6564 is 52216620
GCF of denominators i.e. for 708,381 is 3.
Thus, LCM of Fractions is 17405540.Finally, LCM of Fractions for 7955/708, 6564/381 is 17405540.