Least Common Multiple of 991/103, 290/395, 215/654

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 991/103, 290/395, 215/654 quickly i.e. 12357770 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 991/103, 290/395, 215/654 is 12357770.

LCM(991/103, 290/395, 215/654) = 12357770

LCM of 991/103, 290/395, 215/654

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 991/103,290/395,215/654

Given numbers are 991/103,290/395,215/654

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 991,290,215

Least Common Multiple of Numerators i.e. LCM of 991,290,215 is 12357770.

GCF of Denominators means GCF of 103,395,654 as per the given fractions.

GCF of 103,395,654 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 991,290,215

LCM of Fractions 991/103,290/395,215/654 is 12357770

5 991, 290, 215
991, 58, 43

∴ So the LCM of the given numbers is 5 x 991 x 58 x 43 = 12357770

Least Common Multiple of 991,290,215 with GCF Formula

Least Common Multiple of 991,290,215 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 991,290,215 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(991,290,215) = 1

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

GCF(991,290,215) x common factors =1 x 5 = 5

LCM(991,290,215) = ( 991 × 290 × 215 ) / 5

LCM(991,290,215) = 61788850 / 5

LCM(991,290,215) = 12357770


Lets's calculate GCF of 103,395,654

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12357770/1

Therefore the LCM of Fractions 991/103,290/395,215/654 is 12357770

Greatest Common Factor of 103,395,654 By Matching Biggest Common Factor Method

Greatest Common Factor of 103,395,654 By Matching Biggest Common Factor Method

Factors of 103

List of positive integer factors of 103 that divides 103 without a remainder.

1,103

Factors of 395

List of positive integer factors of 395 that divides 395 without a remainder.

1,5,79,395

Factors of 654

List of positive integer factors of 654 that divides 654 without a remainder.

1,2,3,6,109,218,327,654

Greatest Common Factor

We found the factors 103,395,654 . The biggest common factor number is the GCF number.
So the greatest common factor 103,395,654 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 991/103, 290/395, 215/654

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 991/103, 290/395, 215/654?

Answer: LCM of Numerators as per given numbers 991/103, 290/395, 215/654 is

LCM of Numerators i.e. for 991,290,215 is 12357770

GCF of denominators i.e. for 103,395,654 is 1.

Thus, LCM of Fractions is 12357770.Finally, LCM of Fractions for 991/103, 290/395, 215/654 is 12357770.