Least Common Multiple of 854/37, 553/61, 542/764

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 854/37, 553/61, 542/764 quickly i.e. 18283286 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 854/37, 553/61, 542/764 is 18283286.

LCM(854/37, 553/61, 542/764) = 18283286

LCM of 854/37, 553/61, 542/764

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 854/37,553/61,542/764

Given numbers are 854/37,553/61,542/764

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 854,553,542

Least Common Multiple of Numerators i.e. LCM of 854,553,542 is 18283286.

GCF of Denominators means GCF of 37,61,764 as per the given fractions.

GCF of 37,61,764 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 854,553,542

LCM of Fractions 854/37,553/61,542/764 is 18283286

2 854, 553, 542
7 427, 553, 271
61, 79, 271

∴ So the LCM of the given numbers is 2 x 7 x 61 x 79 x 271 = 18283286

Least Common Multiple of 854,553,542 with GCF Formula

Least Common Multiple of 854,553,542 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 854,553,542 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(854,553,542) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(854,553,542) x common factors =1 x 14 = 14

LCM(854,553,542) = ( 854 × 553 × 542 ) / 14

LCM(854,553,542) = 255966004 / 14

LCM(854,553,542) = 18283286


Lets's calculate GCF of 37,61,764

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18283286/1

Therefore the LCM of Fractions 854/37,553/61,542/764 is 18283286

Greatest Common Factor of 37,61,764 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,61,764 By Matching Biggest Common Factor Method

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 764

List of positive integer factors of 764 that divides 764 without a remainder.

1,2,4,191,382,764

Greatest Common Factor

We found the factors 37,61,764 . The biggest common factor number is the GCF number.
So the greatest common factor 37,61,764 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 854/37, 553/61, 542/764

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 854/37, 553/61, 542/764?

Answer: LCM of Numerators as per given numbers 854/37, 553/61, 542/764 is

LCM of Numerators i.e. for 854,553,542 is 18283286

GCF of denominators i.e. for 37,61,764 is 1.

Thus, LCM of Fractions is 18283286.Finally, LCM of Fractions for 854/37, 553/61, 542/764 is 18283286.