Least Common Multiple of 52/211, 859/543, 742/894

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 52/211, 859/543, 742/894 quickly i.e. 16571828 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 52/211, 859/543, 742/894 is 16571828.

LCM(52/211, 859/543, 742/894) = 16571828

LCM of 52/211, 859/543, 742/894

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 52/211,859/543,742/894

Given numbers are 52/211,859/543,742/894

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 52,859,742

Least Common Multiple of Numerators i.e. LCM of 52,859,742 is 16571828.

GCF of Denominators means GCF of 211,543,894 as per the given fractions.

GCF of 211,543,894 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 52,859,742

LCM of Fractions 52/211,859/543,742/894 is 16571828

2 52, 859, 742
26, 859, 371

∴ So the LCM of the given numbers is 2 x 26 x 859 x 371 = 16571828

Least Common Multiple of 52,859,742 with GCF Formula

Least Common Multiple of 52,859,742 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 52,859,742 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,859,742) = 1

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

GCF(52,859,742) x common factors =1 x 2 = 2

LCM(52,859,742) = ( 52 × 859 × 742 ) / 2

LCM(52,859,742) = 33143656 / 2

LCM(52,859,742) = 16571828


Lets's calculate GCF of 211,543,894

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16571828/1

Therefore the LCM of Fractions 52/211,859/543,742/894 is 16571828

Greatest Common Factor of 211,543,894 By Matching Biggest Common Factor Method

Greatest Common Factor of 211,543,894 By Matching Biggest Common Factor Method

Factors of 211

List of positive integer factors of 211 that divides 211 without a remainder.

1,211

Factors of 543

List of positive integer factors of 543 that divides 543 without a remainder.

1,3,181,543

Factors of 894

List of positive integer factors of 894 that divides 894 without a remainder.

1,2,3,6,149,298,447,894

Greatest Common Factor

We found the factors 211,543,894 . The biggest common factor number is the GCF number.
So the greatest common factor 211,543,894 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 52/211, 859/543, 742/894

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 52/211, 859/543, 742/894?

Answer: LCM of Numerators as per given numbers 52/211, 859/543, 742/894 is

LCM of Numerators i.e. for 52,859,742 is 16571828

GCF of denominators i.e. for 211,543,894 is 1.

Thus, LCM of Fractions is 16571828.Finally, LCM of Fractions for 52/211, 859/543, 742/894 is 16571828.