Least Common Multiple of 854/79, 549/8496

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 854/79, 549/8496 quickly i.e. 7686 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 854/79, 549/8496 is 7686.

LCM(854/79, 549/8496) = 7686

LCM of 854/79, 549/8496

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 854/79,549/8496

Given numbers are 854/79,549/8496

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 854,549

Least Common Multiple of Numerators i.e. LCM of 854,549 is 7686.

GCF of Denominators means GCF of 79,8496 as per the given fractions.

GCF of 79,8496 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 854,549

LCM of Fractions 854/79,549/8496 is 7686

61 854, 549
14, 9

∴ So the LCM of the given numbers is 61 x 14 x 9 = 7686

Least Common Multiple of 854,549 with GCF Formula

Least Common Multiple of 854,549 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 854,549 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(854,549) = 61

common factors(in case of two or more numbers have common factors) = 1

GCF(854,549) x common factors =61 x 1 = 61

LCM(854,549) = ( 854 × 549 ) / 61

LCM(854,549) = 468846 / 61

LCM(854,549) = 7686


Lets's calculate GCF of 79,8496

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7686/1

Therefore the LCM of Fractions 854/79,549/8496 is 7686

Greatest Common Factor of 79,8496 By Matching Biggest Common Factor Method

Greatest Common Factor of 79,8496 By Matching Biggest Common Factor Method

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 8496

List of positive integer factors of 8496 that divides 8496 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,59,72,118,144,177,236,354,472,531,708,944,1062,1416,2124,2832,4248,8496

Greatest Common Factor

We found the factors 79,8496 . The biggest common factor number is the GCF number.
So the greatest common factor 79,8496 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 854/79, 549/8496

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 854/79, 549/8496?

Answer: LCM of Numerators as per given numbers 854/79, 549/8496 is

LCM of Numerators i.e. for 854,549 is 7686

GCF of denominators i.e. for 79,8496 is 1.

Thus, LCM of Fractions is 7686.Finally, LCM of Fractions for 854/79, 549/8496 is 7686.