Least Common Multiple of 212/860, 271/344

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 212/860, 271/344 quickly i.e. 57452/172 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 212/860, 271/344 is 57452/172.

LCM(212/860, 271/344) = 57452/172

LCM of 212/860, 271/344

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 212/860,271/344

Given numbers are 212/860,271/344

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 212,271

Least Common Multiple of Numerators i.e. LCM of 212,271 is 57452.

GCF of Denominators means GCF of 860,344 as per the given fractions.

GCF of 860,344 is 172 as it is the largest common factor for these numbers.

Lets's calculate LCM of 212,271

LCM of Fractions 212/860,271/344 is 57452/172

Given numbers has no common factors except 1. So, there LCM is their product i.e 57452

Least Common Multiple of 212,271 with GCF Formula

Least Common Multiple of 212,271 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 212,271 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(212,271) = 1

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

GCF(212,271) x common factors =1 x 1 = 1

LCM(212,271) = ( 212 × 271 ) / 1

LCM(212,271) = 57452 / 1

LCM(212,271) = 57452


Lets's calculate GCF of 860,344

2 860, 344
2 430, 172
43 215, 86
5, 2

∴ So the GCF of the given numbers is 2 x 2 x 43 = 172

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 57452/172

Therefore the LCM of Fractions 212/860,271/344 is 57452/172

Greatest Common Factor of 860,344 By Matching Biggest Common Factor Method

Greatest Common Factor of 860,344 By Matching Biggest Common Factor Method

Factors of 860

List of positive integer factors of 860 that divides 860 without a remainder.

1,2,4,5,10,20,43,86,172,215,430,860

Factors of 344

List of positive integer factors of 344 that divides 344 without a remainder.

1,2,4,8,43,86,172,344

Greatest Common Factor

We found the factors 860,344 . The biggest common factor number is the GCF number.
So the greatest common factor 860,344 is 172.


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 212/860, 271/344

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 212/860, 271/344?

Answer: LCM of Numerators as per given numbers 212/860, 271/344 is

LCM of Numerators i.e. for 212,271 is 57452

GCF of denominators i.e. for 860,344 is 172.

Thus, LCM of Fractions is 57452/172.Finally, LCM of Fractions for 212/860, 271/344 is 57452/172.