Least Common Multiple of 854/211, 5072/425

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 854/211, 5072/425 quickly i.e. 2165744 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 854/211, 5072/425 is 2165744.

LCM(854/211, 5072/425) = 2165744

LCM of 854/211, 5072/425

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 854/211,5072/425

Given numbers are 854/211,5072/425

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 854,5072

Least Common Multiple of Numerators i.e. LCM of 854,5072 is 2165744.

GCF of Denominators means GCF of 211,425 as per the given fractions.

GCF of 211,425 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 854,5072

LCM of Fractions 854/211,5072/425 is 2165744

2 854, 5072
427, 2536

∴ So the LCM of the given numbers is 2 x 427 x 2536 = 2165744

Least Common Multiple of 854,5072 with GCF Formula

Least Common Multiple of 854,5072 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 854,5072 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(854,5072) = 2

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

GCF(854,5072) x common factors =2 x 1 = 2

LCM(854,5072) = ( 854 × 5072 ) / 2

LCM(854,5072) = 4331488 / 2

LCM(854,5072) = 2165744


Lets's calculate GCF of 211,425

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2165744/1

Therefore the LCM of Fractions 854/211,5072/425 is 2165744

Greatest Common Factor of 211,425 By Matching Biggest Common Factor Method

Greatest Common Factor of 211,425 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 425

List of positive integer factors of 425 that divides 425 without a remainder.

1,5,17,25,85,425

Greatest Common Factor

We found the factors 211,425 . The biggest common factor number is the GCF number.
So the greatest common factor 211,425 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 854/211, 5072/425

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 854/211, 5072/425?

Answer: LCM of Numerators as per given numbers 854/211, 5072/425 is

LCM of Numerators i.e. for 854,5072 is 2165744

GCF of denominators i.e. for 211,425 is 1.

Thus, LCM of Fractions is 2165744.Finally, LCM of Fractions for 854/211, 5072/425 is 2165744.