Least Common Multiple of 92/992, 28/138, 131/850

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 92/992, 28/138, 131/850 quickly i.e. 42182 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 92/992, 28/138, 131/850 is 42182.

LCM(92/992, 28/138, 131/850) = 42182

LCM of 92/992, 28/138, 131/850

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 92/992,28/138,131/850

Given numbers are 92/992,28/138,131/850

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 92,28,131

Least Common Multiple of Numerators i.e. LCM of 92,28,131 is 84364.

GCF of Denominators means GCF of 992,138,850 as per the given fractions.

GCF of 992,138,850 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 92,28,131

LCM of Fractions 92/992,28/138,131/850 is 42182

2 92, 28, 131
2 46, 14, 131
23, 7, 131

∴ So the LCM of the given numbers is 2 x 2 x 23 x 7 x 131 = 84364

Least Common Multiple of 92,28,131 with GCF Formula

Least Common Multiple of 92,28,131 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 92,28,131 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,28,131) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(92,28,131) x common factors =1 x 4 = 4

LCM(92,28,131) = ( 92 × 28 × 131 ) / 4

LCM(92,28,131) = 337456 / 4

LCM(92,28,131) = 84364


Lets's calculate GCF of 992,138,850

2 992, 138, 850
496, 69, 425

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 84364/2

Therefore the LCM of Fractions 92/992,28/138,131/850 is 42182

Greatest Common Factor of 992,138,850 By Matching Biggest Common Factor Method

Greatest Common Factor of 992,138,850 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 138

List of positive integer factors of 138 that divides 138 without a remainder.

1,2,3,6,23,46,69,138

Factors of 850

List of positive integer factors of 850 that divides 850 without a remainder.

1,2,5,10,17,25,34,50,85,170,425,850

Greatest Common Factor

We found the factors 992,138,850 . The biggest common factor number is the GCF number.
So the greatest common factor 992,138,850 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 92/992, 28/138, 131/850

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 92/992, 28/138, 131/850?

Answer: LCM of Numerators as per given numbers 92/992, 28/138, 131/850 is

LCM of Numerators i.e. for 92,28,131 is 84364

GCF of denominators i.e. for 992,138,850 is 2.

Thus, LCM of Fractions is 42182.Finally, LCM of Fractions for 92/992, 28/138, 131/850 is 42182.