Least Common Multiple of 38/270, 56/684, 991/966

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/270, 56/684, 991/966 quickly i.e. 1054424/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/270, 56/684, 991/966 is 1054424/6.

LCM(38/270, 56/684, 991/966) = 1054424/6

LCM of 38/270, 56/684, 991/966

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 38/270,56/684,991/966

Given numbers are 38/270,56/684,991/966

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 38,56,991

Least Common Multiple of Numerators i.e. LCM of 38,56,991 is 1054424.

GCF of Denominators means GCF of 270,684,966 as per the given fractions.

GCF of 270,684,966 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,56,991

LCM of Fractions 38/270,56/684,991/966 is 1054424/6

2 38, 56, 991
19, 28, 991

∴ So the LCM of the given numbers is 2 x 19 x 28 x 991 = 1054424

Least Common Multiple of 38,56,991 with GCF Formula

Least Common Multiple of 38,56,991 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 38,56,991 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,56,991) = 1

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

GCF(38,56,991) x common factors =1 x 2 = 2

LCM(38,56,991) = ( 38 × 56 × 991 ) / 2

LCM(38,56,991) = 2108848 / 2

LCM(38,56,991) = 1054424


Lets's calculate GCF of 270,684,966

2 270, 684, 966
3 135, 342, 483
45, 114, 161

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1054424/6

Therefore the LCM of Fractions 38/270,56/684,991/966 is 1054424/6

Greatest Common Factor of 270,684,966 By Matching Biggest Common Factor Method

Greatest Common Factor of 270,684,966 By Matching Biggest Common Factor Method

Factors of 270

List of positive integer factors of 270 that divides 270 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270

Factors of 684

List of positive integer factors of 684 that divides 684 without a remainder.

1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684

Factors of 966

List of positive integer factors of 966 that divides 966 without a remainder.

1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966

Greatest Common Factor

We found the factors 270,684,966 . The biggest common factor number is the GCF number.
So the greatest common factor 270,684,966 is 6.


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 38/270, 56/684, 991/966

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 38/270, 56/684, 991/966?

Answer: LCM of Numerators as per given numbers 38/270, 56/684, 991/966 is

LCM of Numerators i.e. for 38,56,991 is 1054424

GCF of denominators i.e. for 270,684,966 is 6.

Thus, LCM of Fractions is 1054424/6.Finally, LCM of Fractions for 38/270, 56/684, 991/966 is 1054424/6.