Least Common Multiple of 92/357, 32/797, 679/552

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 92/357, 32/797, 679/552 quickly i.e. 499744 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 92/357, 32/797, 679/552 is 499744.

LCM(92/357, 32/797, 679/552) = 499744

LCM of 92/357, 32/797, 679/552

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 92/357,32/797,679/552

Given numbers are 92/357,32/797,679/552

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 92,32,679

Least Common Multiple of Numerators i.e. LCM of 92,32,679 is 499744.

GCF of Denominators means GCF of 357,797,552 as per the given fractions.

GCF of 357,797,552 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 92,32,679

LCM of Fractions 92/357,32/797,679/552 is 499744

2 92, 32, 679
2 46, 16, 679
23, 8, 679

∴ So the LCM of the given numbers is 2 x 2 x 23 x 8 x 679 = 499744

Least Common Multiple of 92,32,679 with GCF Formula

Least Common Multiple of 92,32,679 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 92,32,679 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,32,679) = 1

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

GCF(92,32,679) x common factors =1 x 4 = 4

LCM(92,32,679) = ( 92 × 32 × 679 ) / 4

LCM(92,32,679) = 1998976 / 4

LCM(92,32,679) = 499744


Lets's calculate GCF of 357,797,552

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 499744/1

Therefore the LCM of Fractions 92/357,32/797,679/552 is 499744

Greatest Common Factor of 357,797,552 By Matching Biggest Common Factor Method

Greatest Common Factor of 357,797,552 By Matching Biggest Common Factor Method

Factors of 357

List of positive integer factors of 357 that divides 357 without a remainder.

1,3,7,17,21,51,119,357

Factors of 797

List of positive integer factors of 797 that divides 797 without a remainder.

1,797

Factors of 552

List of positive integer factors of 552 that divides 552 without a remainder.

1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552

Greatest Common Factor

We found the factors 357,797,552 . The biggest common factor number is the GCF number.
So the greatest common factor 357,797,552 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 92/357, 32/797, 679/552

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 92/357, 32/797, 679/552?

Answer: LCM of Numerators as per given numbers 92/357, 32/797, 679/552 is

LCM of Numerators i.e. for 92,32,679 is 499744

GCF of denominators i.e. for 357,797,552 is 1.

Thus, LCM of Fractions is 499744.Finally, LCM of Fractions for 92/357, 32/797, 679/552 is 499744.