Least Common Multiple of 92/409, 44/692, 508/477

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 92/409, 44/692, 508/477 quickly i.e. 128524 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 92/409, 44/692, 508/477 is 128524.

LCM(92/409, 44/692, 508/477) = 128524

LCM of 92/409, 44/692, 508/477

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 92/409,44/692,508/477

Given numbers are 92/409,44/692,508/477

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 92,44,508

Least Common Multiple of Numerators i.e. LCM of 92,44,508 is 128524.

GCF of Denominators means GCF of 409,692,477 as per the given fractions.

GCF of 409,692,477 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 92,44,508

LCM of Fractions 92/409,44/692,508/477 is 128524

2 92, 44, 508
2 46, 22, 254
23, 11, 127

∴ So the LCM of the given numbers is 2 x 2 x 23 x 11 x 127 = 128524

Least Common Multiple of 92,44,508 with GCF Formula

Least Common Multiple of 92,44,508 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 92,44,508 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,44,508) = 4

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

GCF(92,44,508) x common factors =4 x 4 = 16

LCM(92,44,508) = ( 92 × 44 × 508 ) / 16

LCM(92,44,508) = 2056384 / 16

LCM(92,44,508) = 128524


Lets's calculate GCF of 409,692,477

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 128524/1

Therefore the LCM of Fractions 92/409,44/692,508/477 is 128524

Greatest Common Factor of 409,692,477 By Matching Biggest Common Factor Method

Greatest Common Factor of 409,692,477 By Matching Biggest Common Factor Method

Factors of 409

List of positive integer factors of 409 that divides 409 without a remainder.

1,409

Factors of 692

List of positive integer factors of 692 that divides 692 without a remainder.

1,2,4,173,346,692

Factors of 477

List of positive integer factors of 477 that divides 477 without a remainder.

1,3,9,53,159,477

Greatest Common Factor

We found the factors 409,692,477 . The biggest common factor number is the GCF number.
So the greatest common factor 409,692,477 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 92/409, 44/692, 508/477

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 92/409, 44/692, 508/477?

Answer: LCM of Numerators as per given numbers 92/409, 44/692, 508/477 is

LCM of Numerators i.e. for 92,44,508 is 128524

GCF of denominators i.e. for 409,692,477 is 1.

Thus, LCM of Fractions is 128524.Finally, LCM of Fractions for 92/409, 44/692, 508/477 is 128524.