Least Common Multiple of 125/610, 162/110, 824/157

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 125/610, 162/110, 824/157 quickly i.e. 8343000 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 125/610, 162/110, 824/157 is 8343000.

LCM(125/610, 162/110, 824/157) = 8343000

LCM of 125/610, 162/110, 824/157

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 125/610,162/110,824/157

Given numbers are 125/610,162/110,824/157

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 125,162,824

Least Common Multiple of Numerators i.e. LCM of 125,162,824 is 8343000.

GCF of Denominators means GCF of 610,110,157 as per the given fractions.

GCF of 610,110,157 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 125,162,824

LCM of Fractions 125/610,162/110,824/157 is 8343000

2 125, 162, 824
125, 81, 412

∴ So the LCM of the given numbers is 2 x 125 x 81 x 412 = 8343000

Least Common Multiple of 125,162,824 with GCF Formula

Least Common Multiple of 125,162,824 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 125,162,824 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(125,162,824) = 1

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

GCF(125,162,824) x common factors =1 x 2 = 2

LCM(125,162,824) = ( 125 × 162 × 824 ) / 2

LCM(125,162,824) = 16686000 / 2

LCM(125,162,824) = 8343000


Lets's calculate GCF of 610,110,157

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8343000/1

Therefore the LCM of Fractions 125/610,162/110,824/157 is 8343000

Greatest Common Factor of 610,110,157 By Matching Biggest Common Factor Method

Greatest Common Factor of 610,110,157 By Matching Biggest Common Factor Method

Factors of 610

List of positive integer factors of 610 that divides 610 without a remainder.

1,2,5,10,61,122,305,610

Factors of 110

List of positive integer factors of 110 that divides 110 without a remainder.

1,2,5,10,11,22,55,110

Factors of 157

List of positive integer factors of 157 that divides 157 without a remainder.

1,157

Greatest Common Factor

We found the factors 610,110,157 . The biggest common factor number is the GCF number.
So the greatest common factor 610,110,157 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 125/610, 162/110, 824/157

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 125/610, 162/110, 824/157?

Answer: LCM of Numerators as per given numbers 125/610, 162/110, 824/157 is

LCM of Numerators i.e. for 125,162,824 is 8343000

GCF of denominators i.e. for 610,110,157 is 1.

Thus, LCM of Fractions is 8343000.Finally, LCM of Fractions for 125/610, 162/110, 824/157 is 8343000.