Least Common Multiple of 18/854, 5462/2972

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 18/854, 5462/2972 quickly i.e. 24579 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/854, 5462/2972 is 24579.

LCM(18/854, 5462/2972) = 24579

LCM of 18/854, 5462/2972

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 18/854,5462/2972

Given numbers are 18/854,5462/2972

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 18,5462

Least Common Multiple of Numerators i.e. LCM of 18,5462 is 49158.

GCF of Denominators means GCF of 854,2972 as per the given fractions.

GCF of 854,2972 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,5462

LCM of Fractions 18/854,5462/2972 is 24579

2 18, 5462
9, 2731

∴ So the LCM of the given numbers is 2 x 9 x 2731 = 49158

Least Common Multiple of 18,5462 with GCF Formula

Least Common Multiple of 18,5462 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 18,5462 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,5462) = 2

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

GCF(18,5462) x common factors =2 x 1 = 2

LCM(18,5462) = ( 18 × 5462 ) / 2

LCM(18,5462) = 98316 / 2

LCM(18,5462) = 49158


Lets's calculate GCF of 854,2972

2 854, 2972
427, 1486

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49158/2

Therefore the LCM of Fractions 18/854,5462/2972 is 24579

Greatest Common Factor of 854,2972 By Matching Biggest Common Factor Method

Greatest Common Factor of 854,2972 By Matching Biggest Common Factor Method

Factors of 854

List of positive integer factors of 854 that divides 854 without a remainder.

1,2,7,14,61,122,427,854

Factors of 2972

List of positive integer factors of 2972 that divides 2972 without a remainder.

1,2,4,743,1486,2972

Greatest Common Factor

We found the factors 854,2972 . The biggest common factor number is the GCF number.
So the greatest common factor 854,2972 is 2.


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 18/854, 5462/2972

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 18/854, 5462/2972?

Answer: LCM of Numerators as per given numbers 18/854, 5462/2972 is

LCM of Numerators i.e. for 18,5462 is 49158

GCF of denominators i.e. for 854,2972 is 2.

Thus, LCM of Fractions is 24579.Finally, LCM of Fractions for 18/854, 5462/2972 is 24579.