Least Common Multiple of 64/394, 680/508, 644/181

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/394, 680/508, 644/181 quickly i.e. 875840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/394, 680/508, 644/181 is 875840.

LCM(64/394, 680/508, 644/181) = 875840

LCM of 64/394, 680/508, 644/181

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 64/394,680/508,644/181

Given numbers are 64/394,680/508,644/181

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 64,680,644

Least Common Multiple of Numerators i.e. LCM of 64,680,644 is 875840.

GCF of Denominators means GCF of 394,508,181 as per the given fractions.

GCF of 394,508,181 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,680,644

LCM of Fractions 64/394,680/508,644/181 is 875840

2 64, 680, 644
2 32, 340, 322
2 16, 170, 161
8, 85, 161

∴ So the LCM of the given numbers is 2 x 2 x 2 x 8 x 85 x 161 = 875840

Least Common Multiple of 64,680,644 with GCF Formula

Least Common Multiple of 64,680,644 with GCF Formula

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 64,680,644 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,680,644) = 4

common factors(in case of two or more numbers have common factors) = 8

GCF(64,680,644) x common factors =4 x 8 = 32

LCM(64,680,644) = ( 64 × 680 × 644 ) / 32

LCM(64,680,644) = 28026880 / 32

LCM(64,680,644) = 875840


Lets's calculate GCF of 394,508,181

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 875840/1

Therefore the LCM of Fractions 64/394,680/508,644/181 is 875840

Greatest Common Factor of 394,508,181 By Matching Biggest Common Factor Method

Greatest Common Factor of 394,508,181 By Matching Biggest Common Factor Method

Factors of 394

List of positive integer factors of 394 that divides 394 without a remainder.

1,2,197,394

Factors of 508

List of positive integer factors of 508 that divides 508 without a remainder.

1,2,4,127,254,508

Factors of 181

List of positive integer factors of 181 that divides 181 without a remainder.

1,181

Greatest Common Factor

We found the factors 394,508,181 . The biggest common factor number is the GCF number.
So the greatest common factor 394,508,181 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 64/394, 680/508, 644/181

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 64/394, 680/508, 644/181?

Answer: LCM of Numerators as per given numbers 64/394, 680/508, 644/181 is

LCM of Numerators i.e. for 64,680,644 is 875840

GCF of denominators i.e. for 394,508,181 is 1.

Thus, LCM of Fractions is 875840.Finally, LCM of Fractions for 64/394, 680/508, 644/181 is 875840.