Least Common Multiple of 858/872, 708/172

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 858/872, 708/172 quickly i.e. 25311 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 858/872, 708/172 is 25311.

LCM(858/872, 708/172) = 25311

LCM of 858/872, 708/172

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 858/872,708/172

Given numbers are 858/872,708/172

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 858,708

Least Common Multiple of Numerators i.e. LCM of 858,708 is 101244.

GCF of Denominators means GCF of 872,172 as per the given fractions.

GCF of 872,172 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 858,708

LCM of Fractions 858/872,708/172 is 25311

2 858, 708
3 429, 354
143, 118

∴ So the LCM of the given numbers is 2 x 3 x 143 x 118 = 101244

Least Common Multiple of 858,708 with GCF Formula

Least Common Multiple of 858,708 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 858,708 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(858,708) = 6

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

GCF(858,708) x common factors =6 x 1 = 6

LCM(858,708) = ( 858 × 708 ) / 6

LCM(858,708) = 607464 / 6

LCM(858,708) = 101244


Lets's calculate GCF of 872,172

2 872, 172
2 436, 86
218, 43

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 101244/4

Therefore the LCM of Fractions 858/872,708/172 is 25311

Greatest Common Factor of 872,172 By Matching Biggest Common Factor Method

Greatest Common Factor of 872,172 By Matching Biggest Common Factor Method

Factors of 872

List of positive integer factors of 872 that divides 872 without a remainder.

1,2,4,8,109,218,436,872

Factors of 172

List of positive integer factors of 172 that divides 172 without a remainder.

1,2,4,43,86,172

Greatest Common Factor

We found the factors 872,172 . The biggest common factor number is the GCF number.
So the greatest common factor 872,172 is 4.


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 858/872, 708/172

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 858/872, 708/172?

Answer: LCM of Numerators as per given numbers 858/872, 708/172 is

LCM of Numerators i.e. for 858,708 is 101244

GCF of denominators i.e. for 872,172 is 4.

Thus, LCM of Fractions is 25311.Finally, LCM of Fractions for 858/872, 708/172 is 25311.