Least Common Multiple of 52/992, 92/186, 143/816

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 52/992, 92/186, 143/816 quickly i.e. 6578 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 52/992, 92/186, 143/816 is 6578.

LCM(52/992, 92/186, 143/816) = 6578

LCM of 52/992, 92/186, 143/816

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 52/992,92/186,143/816

Given numbers are 52/992,92/186,143/816

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 52,92,143

Least Common Multiple of Numerators i.e. LCM of 52,92,143 is 13156.

GCF of Denominators means GCF of 992,186,816 as per the given fractions.

GCF of 992,186,816 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 52,92,143

LCM of Fractions 52/992,92/186,143/816 is 6578

2 52, 92, 143
2 26, 46, 143
13 13, 23, 143
1, 23, 11

∴ So the LCM of the given numbers is 2 x 2 x 13 x 1 x 23 x 11 = 13156

Least Common Multiple of 52,92,143 with GCF Formula

Least Common Multiple of 52,92,143 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 52,92,143 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,92,143) = 1

common factors(in case of two or more numbers have common factors) = 52

GCF(52,92,143) x common factors =1 x 52 = 52

LCM(52,92,143) = ( 52 × 92 × 143 ) / 52

LCM(52,92,143) = 684112 / 52

LCM(52,92,143) = 13156


Lets's calculate GCF of 992,186,816

2 992, 186, 816
496, 93, 408

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13156/2

Therefore the LCM of Fractions 52/992,92/186,143/816 is 6578

Greatest Common Factor of 992,186,816 By Matching Biggest Common Factor Method

Greatest Common Factor of 992,186,816 By Matching Biggest Common Factor Method

Factors of 992

List of positive integer factors of 992 that divides 992 without a remainder.

1,2,4,8,16,31,32,62,124,248,496,992

Factors of 186

List of positive integer factors of 186 that divides 186 without a remainder.

1,2,3,6,31,62,93,186

Factors of 816

List of positive integer factors of 816 that divides 816 without a remainder.

1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816

Greatest Common Factor

We found the factors 992,186,816 . The biggest common factor number is the GCF number.
So the greatest common factor 992,186,816 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 52/992, 92/186, 143/816

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 52/992, 92/186, 143/816?

Answer: LCM of Numerators as per given numbers 52/992, 92/186, 143/816 is

LCM of Numerators i.e. for 52,92,143 is 13156

GCF of denominators i.e. for 992,186,816 is 2.

Thus, LCM of Fractions is 6578.Finally, LCM of Fractions for 52/992, 92/186, 143/816 is 6578.