Least Common Multiple of 6/418, 92/730, 77/832

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6/418, 92/730, 77/832 quickly i.e. 10626 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6/418, 92/730, 77/832 is 10626.

LCM(6/418, 92/730, 77/832) = 10626

LCM of 6/418, 92/730, 77/832

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 6/418,92/730,77/832

Given numbers are 6/418,92/730,77/832

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 6,92,77

Least Common Multiple of Numerators i.e. LCM of 6,92,77 is 21252.

GCF of Denominators means GCF of 418,730,832 as per the given fractions.

GCF of 418,730,832 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6,92,77

LCM of Fractions 6/418,92/730,77/832 is 10626

2 6, 92, 77
3, 46, 77

∴ So the LCM of the given numbers is 2 x 3 x 46 x 77 = 21252

Least Common Multiple of 6,92,77 with GCF Formula

Least Common Multiple of 6,92,77 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 6,92,77 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6,92,77) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(6,92,77) x common factors =1 x 2 = 2

LCM(6,92,77) = ( 6 × 92 × 77 ) / 2

LCM(6,92,77) = 42504 / 2

LCM(6,92,77) = 21252


Lets's calculate GCF of 418,730,832

2 418, 730, 832
209, 365, 416

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21252/2

Therefore the LCM of Fractions 6/418,92/730,77/832 is 10626

Greatest Common Factor of 418,730,832 By Matching Biggest Common Factor Method

Greatest Common Factor of 418,730,832 By Matching Biggest Common Factor Method

Factors of 418

List of positive integer factors of 418 that divides 418 without a remainder.

1,2,11,19,22,38,209,418

Factors of 730

List of positive integer factors of 730 that divides 730 without a remainder.

1,2,5,10,73,146,365,730

Factors of 832

List of positive integer factors of 832 that divides 832 without a remainder.

1,2,4,8,13,16,26,32,52,64,104,208,416,832

Greatest Common Factor

We found the factors 418,730,832 . The biggest common factor number is the GCF number.
So the greatest common factor 418,730,832 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 6/418, 92/730, 77/832

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 6/418, 92/730, 77/832?

Answer: LCM of Numerators as per given numbers 6/418, 92/730, 77/832 is

LCM of Numerators i.e. for 6,92,77 is 21252

GCF of denominators i.e. for 418,730,832 is 2.

Thus, LCM of Fractions is 10626.Finally, LCM of Fractions for 6/418, 92/730, 77/832 is 10626.