Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 956/529, 541/178, 504/387 quickly i.e. 65166696 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 956/529, 541/178, 504/387 is 65166696.
LCM(956/529, 541/178, 504/387) = 65166696
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 956/529,541/178,504/387
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 956,541,504
Least Common Multiple of Numerators i.e. LCM of 956,541,504 is 65166696.
GCF of Denominators means GCF of 529,178,387 as per the given fractions.
GCF of 529,178,387 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 956,541,504
2 | 956, 541, 504 |
2 | 478, 541, 252 |
239, 541, 126 |
∴ So the LCM of the given numbers is 2 x 2 x 239 x 541 x 126 = 65166696
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 956,541,504 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(956,541,504) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(956,541,504) x common factors =1 x 4 = 4
LCM(956,541,504) = ( 956 × 541 × 504 ) / 4
LCM(956,541,504) = 260666784 / 4
LCM(956,541,504) = 65166696
Lets's calculate GCF of 529,178,387
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 65166696/1
Therefore the LCM of Fractions 956/529,541/178,504/387 is 65166696
Factors of 529
List of positive integer factors of 529 that divides 529 without a remainder.
1,23,529
Factors of 178
List of positive integer factors of 178 that divides 178 without a remainder.
1,2,89,178
Factors of 387
List of positive integer factors of 387 that divides 387 without a remainder.
1,3,9,43,129,387
Greatest Common Factor
We found the factors 529,178,387 . The biggest common factor number is the GCF number.
So the greatest common factor 529,178,387 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 956/529, 541/178, 504/387?
Answer: LCM of Numerators as per given numbers 956/529, 541/178, 504/387 is
LCM of Numerators i.e. for 956,541,504 is 65166696
GCF of denominators i.e. for 529,178,387 is 1.
Thus, LCM of Fractions is 65166696.Finally, LCM of Fractions for 956/529, 541/178, 504/387 is 65166696.