Least Common Multiple of 746/64, 859/18, 159/676

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 746/64, 859/18, 159/676 quickly i.e. 50944713 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 746/64, 859/18, 159/676 is 50944713.

LCM(746/64, 859/18, 159/676) = 50944713

LCM of 746/64, 859/18, 159/676

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 746/64,859/18,159/676

Given numbers are 746/64,859/18,159/676

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 746,859,159

Least Common Multiple of Numerators i.e. LCM of 746,859,159 is 101889426.

GCF of Denominators means GCF of 64,18,676 as per the given fractions.

GCF of 64,18,676 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 746,859,159

LCM of Fractions 746/64,859/18,159/676 is 50944713

Given numbers has no common factors except 1. So, there LCM is their product i.e 101889426

Least Common Multiple of 746,859,159 with GCF Formula

Least Common Multiple of 746,859,159 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 746,859,159 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(746,859,159) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(746,859,159) x common factors =1 x 1 = 1

LCM(746,859,159) = ( 746 × 859 × 159 ) / 1

LCM(746,859,159) = 101889426 / 1

LCM(746,859,159) = 101889426


Lets's calculate GCF of 64,18,676

2 64, 18, 676
32, 9, 338

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 101889426/2

Therefore the LCM of Fractions 746/64,859/18,159/676 is 50944713

Greatest Common Factor of 64,18,676 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,18,676 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 676

List of positive integer factors of 676 that divides 676 without a remainder.

1,2,4,13,26,52,169,338,676

Greatest Common Factor

We found the factors 64,18,676 . The biggest common factor number is the GCF number.
So the greatest common factor 64,18,676 is 2.


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 746/64, 859/18, 159/676

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 746/64, 859/18, 159/676?

Answer: LCM of Numerators as per given numbers 746/64, 859/18, 159/676 is

LCM of Numerators i.e. for 746,859,159 is 101889426

GCF of denominators i.e. for 64,18,676 is 2.

Thus, LCM of Fractions is 50944713.Finally, LCM of Fractions for 746/64, 859/18, 159/676 is 50944713.