Least Common Multiple of 92/849, 53/409, 468/677

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 92/849, 53/409, 468/677 quickly i.e. 570492 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 92/849, 53/409, 468/677 is 570492.

LCM(92/849, 53/409, 468/677) = 570492

LCM of 92/849, 53/409, 468/677

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 92/849,53/409,468/677

Given numbers are 92/849,53/409,468/677

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 92,53,468

Least Common Multiple of Numerators i.e. LCM of 92,53,468 is 570492.

GCF of Denominators means GCF of 849,409,677 as per the given fractions.

GCF of 849,409,677 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 92,53,468

LCM of Fractions 92/849,53/409,468/677 is 570492

2 92, 53, 468
2 46, 53, 234
23, 53, 117

∴ So the LCM of the given numbers is 2 x 2 x 23 x 53 x 117 = 570492

Least Common Multiple of 92,53,468 with GCF Formula

Least Common Multiple of 92,53,468 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 92,53,468 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,53,468) = 1

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

GCF(92,53,468) x common factors =1 x 4 = 4

LCM(92,53,468) = ( 92 × 53 × 468 ) / 4

LCM(92,53,468) = 2281968 / 4

LCM(92,53,468) = 570492


Lets's calculate GCF of 849,409,677

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 570492/1

Therefore the LCM of Fractions 92/849,53/409,468/677 is 570492

Greatest Common Factor of 849,409,677 By Matching Biggest Common Factor Method

Greatest Common Factor of 849,409,677 By Matching Biggest Common Factor Method

Factors of 849

List of positive integer factors of 849 that divides 849 without a remainder.

1,3,283,849

Factors of 409

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

1,409

Factors of 677

List of positive integer factors of 677 that divides 677 without a remainder.

1,677

Greatest Common Factor

We found the factors 849,409,677 . The biggest common factor number is the GCF number.
So the greatest common factor 849,409,677 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 92/849, 53/409, 468/677

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 92/849, 53/409, 468/677?

Answer: LCM of Numerators as per given numbers 92/849, 53/409, 468/677 is

LCM of Numerators i.e. for 92,53,468 is 570492

GCF of denominators i.e. for 849,409,677 is 1.

Thus, LCM of Fractions is 570492.Finally, LCM of Fractions for 92/849, 53/409, 468/677 is 570492.