Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 52/678, 6376/8759 quickly i.e. 82888 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 52/678, 6376/8759 is 82888.
LCM(52/678, 6376/8759) = 82888
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 52/678,6376/8759
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 52,6376
Least Common Multiple of Numerators i.e. LCM of 52,6376 is 82888.
GCF of Denominators means GCF of 678,8759 as per the given fractions.
GCF of 678,8759 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 52,6376
2 | 52, 6376 |
2 | 26, 3188 |
13, 1594 |
∴ So the LCM of the given numbers is 2 x 2 x 13 x 1594 = 82888
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 52,6376 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(52,6376) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(52,6376) x common factors =4 x 1 = 4
LCM(52,6376) = ( 52 × 6376 ) / 4
LCM(52,6376) = 331552 / 4
LCM(52,6376) = 82888
Lets's calculate GCF of 678,8759
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 82888/1
Therefore the LCM of Fractions 52/678,6376/8759 is 82888
Factors of 678
List of positive integer factors of 678 that divides 678 without a remainder.
1,2,3,6,113,226,339,678
Factors of 8759
List of positive integer factors of 8759 that divides 8759 without a remainder.
1,19,461,8759
Greatest Common Factor
We found the factors 678,8759 . The biggest common factor number is the GCF number.
So the greatest common factor 678,8759 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 52/678, 6376/8759?
Answer: LCM of Numerators as per given numbers 52/678, 6376/8759 is
LCM of Numerators i.e. for 52,6376 is 82888
GCF of denominators i.e. for 678,8759 is 1.
Thus, LCM of Fractions is 82888.Finally, LCM of Fractions for 52/678, 6376/8759 is 82888.