Least Common Multiple of 688/983, 789/941, 666/546

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 688/983, 789/941, 666/546 quickly i.e. 60254352 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 688/983, 789/941, 666/546 is 60254352.

LCM(688/983, 789/941, 666/546) = 60254352

LCM of 688/983, 789/941, 666/546

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 688/983,789/941,666/546

Given numbers are 688/983,789/941,666/546

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 688,789,666

Least Common Multiple of Numerators i.e. LCM of 688,789,666 is 60254352.

GCF of Denominators means GCF of 983,941,546 as per the given fractions.

GCF of 983,941,546 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 688,789,666

LCM of Fractions 688/983,789/941,666/546 is 60254352

2 688, 789, 666
3 344, 789, 333
344, 263, 111

∴ So the LCM of the given numbers is 2 x 3 x 344 x 263 x 111 = 60254352

Least Common Multiple of 688,789,666 with GCF Formula

Least Common Multiple of 688,789,666 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 688,789,666 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(688,789,666) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(688,789,666) x common factors =1 x 6 = 6

LCM(688,789,666) = ( 688 × 789 × 666 ) / 6

LCM(688,789,666) = 361526112 / 6

LCM(688,789,666) = 60254352


Lets's calculate GCF of 983,941,546

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 60254352/1

Therefore the LCM of Fractions 688/983,789/941,666/546 is 60254352

Greatest Common Factor of 983,941,546 By Matching Biggest Common Factor Method

Greatest Common Factor of 983,941,546 By Matching Biggest Common Factor Method

Factors of 983

List of positive integer factors of 983 that divides 983 without a remainder.

1,983

Factors of 941

List of positive integer factors of 941 that divides 941 without a remainder.

1,941

Factors of 546

List of positive integer factors of 546 that divides 546 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546

Greatest Common Factor

We found the factors 983,941,546 . The biggest common factor number is the GCF number.
So the greatest common factor 983,941,546 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 688/983, 789/941, 666/546

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 688/983, 789/941, 666/546?

Answer: LCM of Numerators as per given numbers 688/983, 789/941, 666/546 is

LCM of Numerators i.e. for 688,789,666 is 60254352

GCF of denominators i.e. for 983,941,546 is 1.

Thus, LCM of Fractions is 60254352.Finally, LCM of Fractions for 688/983, 789/941, 666/546 is 60254352.