Least Common Multiple of 178/26, 352/21, 679/875

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 178/26, 352/21, 679/875 quickly i.e. 21271712 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 178/26, 352/21, 679/875 is 21271712.

LCM(178/26, 352/21, 679/875) = 21271712

LCM of 178/26, 352/21, 679/875

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 178/26,352/21,679/875

Given numbers are 178/26,352/21,679/875

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 178,352,679

Least Common Multiple of Numerators i.e. LCM of 178,352,679 is 21271712.

GCF of Denominators means GCF of 26,21,875 as per the given fractions.

GCF of 26,21,875 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 178,352,679

LCM of Fractions 178/26,352/21,679/875 is 21271712

2 178, 352, 679
89, 176, 679

∴ So the LCM of the given numbers is 2 x 89 x 176 x 679 = 21271712

Least Common Multiple of 178,352,679 with GCF Formula

Least Common Multiple of 178,352,679 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 178,352,679 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(178,352,679) = 1

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

GCF(178,352,679) x common factors =1 x 2 = 2

LCM(178,352,679) = ( 178 × 352 × 679 ) / 2

LCM(178,352,679) = 42543424 / 2

LCM(178,352,679) = 21271712


Lets's calculate GCF of 26,21,875

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21271712/1

Therefore the LCM of Fractions 178/26,352/21,679/875 is 21271712

Greatest Common Factor of 26,21,875 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,21,875 By Matching Biggest Common Factor Method

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 875

List of positive integer factors of 875 that divides 875 without a remainder.

1,5,7,25,35,125,175,875

Greatest Common Factor

We found the factors 26,21,875 . The biggest common factor number is the GCF number.
So the greatest common factor 26,21,875 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 178/26, 352/21, 679/875

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 178/26, 352/21, 679/875?

Answer: LCM of Numerators as per given numbers 178/26, 352/21, 679/875 is

LCM of Numerators i.e. for 178,352,679 is 21271712

GCF of denominators i.e. for 26,21,875 is 1.

Thus, LCM of Fractions is 21271712.Finally, LCM of Fractions for 178/26, 352/21, 679/875 is 21271712.