Least Common Multiple of 676/60, 875/80, 985/549

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 676/60, 875/80, 985/549 quickly i.e. 116525500 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 676/60, 875/80, 985/549 is 116525500.

LCM(676/60, 875/80, 985/549) = 116525500

LCM of 676/60, 875/80, 985/549

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 676/60,875/80,985/549

Given numbers are 676/60,875/80,985/549

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 676,875,985

Least Common Multiple of Numerators i.e. LCM of 676,875,985 is 116525500.

GCF of Denominators means GCF of 60,80,549 as per the given fractions.

GCF of 60,80,549 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 676,875,985

LCM of Fractions 676/60,875/80,985/549 is 116525500

5 676, 875, 985
676, 175, 197

∴ So the LCM of the given numbers is 5 x 676 x 175 x 197 = 116525500

Least Common Multiple of 676,875,985 with GCF Formula

Least Common Multiple of 676,875,985 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 676,875,985 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(676,875,985) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(676,875,985) x common factors =1 x 5 = 5

LCM(676,875,985) = ( 676 × 875 × 985 ) / 5

LCM(676,875,985) = 582627500 / 5

LCM(676,875,985) = 116525500


Lets's calculate GCF of 60,80,549

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 116525500/1

Therefore the LCM of Fractions 676/60,875/80,985/549 is 116525500

Greatest Common Factor of 60,80,549 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,80,549 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 549

List of positive integer factors of 549 that divides 549 without a remainder.

1,3,9,61,183,549

Greatest Common Factor

We found the factors 60,80,549 . The biggest common factor number is the GCF number.
So the greatest common factor 60,80,549 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 676/60, 875/80, 985/549

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 676/60, 875/80, 985/549?

Answer: LCM of Numerators as per given numbers 676/60, 875/80, 985/549 is

LCM of Numerators i.e. for 676,875,985 is 116525500

GCF of denominators i.e. for 60,80,549 is 1.

Thus, LCM of Fractions is 116525500.Finally, LCM of Fractions for 676/60, 875/80, 985/549 is 116525500.