Least Common Multiple of 179/56, 128/79, 926/837

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 179/56, 128/79, 926/837 quickly i.e. 10608256 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 179/56, 128/79, 926/837 is 10608256.

LCM(179/56, 128/79, 926/837) = 10608256

LCM of 179/56, 128/79, 926/837

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 179/56,128/79,926/837

Given numbers are 179/56,128/79,926/837

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 179,128,926

Least Common Multiple of Numerators i.e. LCM of 179,128,926 is 10608256.

GCF of Denominators means GCF of 56,79,837 as per the given fractions.

GCF of 56,79,837 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 179,128,926

LCM of Fractions 179/56,128/79,926/837 is 10608256

2 179, 128, 926
179, 64, 463

∴ So the LCM of the given numbers is 2 x 179 x 64 x 463 = 10608256

Least Common Multiple of 179,128,926 with GCF Formula

Least Common Multiple of 179,128,926 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 179,128,926 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(179,128,926) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(179,128,926) x common factors =1 x 2 = 2

LCM(179,128,926) = ( 179 × 128 × 926 ) / 2

LCM(179,128,926) = 21216512 / 2

LCM(179,128,926) = 10608256


Lets's calculate GCF of 56,79,837

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10608256/1

Therefore the LCM of Fractions 179/56,128/79,926/837 is 10608256

Greatest Common Factor of 56,79,837 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,79,837 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 837

List of positive integer factors of 837 that divides 837 without a remainder.

1,3,9,27,31,93,279,837

Greatest Common Factor

We found the factors 56,79,837 . The biggest common factor number is the GCF number.
So the greatest common factor 56,79,837 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 179/56, 128/79, 926/837

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 179/56, 128/79, 926/837?

Answer: LCM of Numerators as per given numbers 179/56, 128/79, 926/837 is

LCM of Numerators i.e. for 179,128,926 is 10608256

GCF of denominators i.e. for 56,79,837 is 1.

Thus, LCM of Fractions is 10608256.Finally, LCM of Fractions for 179/56, 128/79, 926/837 is 10608256.