Least Common Multiple of 77/97, 18/278, 988/903

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/97, 18/278, 988/903 quickly i.e. 684684 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/97, 18/278, 988/903 is 684684.

LCM(77/97, 18/278, 988/903) = 684684

LCM of 77/97, 18/278, 988/903

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 77/97,18/278,988/903

Given numbers are 77/97,18/278,988/903

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 77,18,988

Least Common Multiple of Numerators i.e. LCM of 77,18,988 is 684684.

GCF of Denominators means GCF of 97,278,903 as per the given fractions.

GCF of 97,278,903 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,18,988

LCM of Fractions 77/97,18/278,988/903 is 684684

2 77, 18, 988
77, 9, 494

∴ So the LCM of the given numbers is 2 x 77 x 9 x 494 = 684684

Least Common Multiple of 77,18,988 with GCF Formula

Least Common Multiple of 77,18,988 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 77,18,988 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,18,988) = 1

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

GCF(77,18,988) x common factors =1 x 2 = 2

LCM(77,18,988) = ( 77 × 18 × 988 ) / 2

LCM(77,18,988) = 1369368 / 2

LCM(77,18,988) = 684684


Lets's calculate GCF of 97,278,903

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 684684/1

Therefore the LCM of Fractions 77/97,18/278,988/903 is 684684

Greatest Common Factor of 97,278,903 By Matching Biggest Common Factor Method

Greatest Common Factor of 97,278,903 By Matching Biggest Common Factor Method

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 278

List of positive integer factors of 278 that divides 278 without a remainder.

1,2,139,278

Factors of 903

List of positive integer factors of 903 that divides 903 without a remainder.

1,3,7,21,43,129,301,903

Greatest Common Factor

We found the factors 97,278,903 . The biggest common factor number is the GCF number.
So the greatest common factor 97,278,903 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 77/97, 18/278, 988/903

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 77/97, 18/278, 988/903?

Answer: LCM of Numerators as per given numbers 77/97, 18/278, 988/903 is

LCM of Numerators i.e. for 77,18,988 is 684684

GCF of denominators i.e. for 97,278,903 is 1.

Thus, LCM of Fractions is 684684.Finally, LCM of Fractions for 77/97, 18/278, 988/903 is 684684.