Least Common Multiple of 42/981, 221/347, 758/368

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/981, 221/347, 758/368 quickly i.e. 3517878 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/981, 221/347, 758/368 is 3517878.

LCM(42/981, 221/347, 758/368) = 3517878

LCM of 42/981, 221/347, 758/368

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 42/981,221/347,758/368

Given numbers are 42/981,221/347,758/368

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 42,221,758

Least Common Multiple of Numerators i.e. LCM of 42,221,758 is 3517878.

GCF of Denominators means GCF of 981,347,368 as per the given fractions.

GCF of 981,347,368 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,221,758

LCM of Fractions 42/981,221/347,758/368 is 3517878

2 42, 221, 758
21, 221, 379

∴ So the LCM of the given numbers is 2 x 21 x 221 x 379 = 3517878

Least Common Multiple of 42,221,758 with GCF Formula

Least Common Multiple of 42,221,758 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 42,221,758 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,221,758) = 1

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

GCF(42,221,758) x common factors =1 x 2 = 2

LCM(42,221,758) = ( 42 × 221 × 758 ) / 2

LCM(42,221,758) = 7035756 / 2

LCM(42,221,758) = 3517878


Lets's calculate GCF of 981,347,368

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3517878/1

Therefore the LCM of Fractions 42/981,221/347,758/368 is 3517878

Greatest Common Factor of 981,347,368 By Matching Biggest Common Factor Method

Greatest Common Factor of 981,347,368 By Matching Biggest Common Factor Method

Factors of 981

List of positive integer factors of 981 that divides 981 without a remainder.

1,3,9,109,327,981

Factors of 347

List of positive integer factors of 347 that divides 347 without a remainder.

1,347

Factors of 368

List of positive integer factors of 368 that divides 368 without a remainder.

1,2,4,8,16,23,46,92,184,368

Greatest Common Factor

We found the factors 981,347,368 . The biggest common factor number is the GCF number.
So the greatest common factor 981,347,368 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 42/981, 221/347, 758/368

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 42/981, 221/347, 758/368?

Answer: LCM of Numerators as per given numbers 42/981, 221/347, 758/368 is

LCM of Numerators i.e. for 42,221,758 is 3517878

GCF of denominators i.e. for 981,347,368 is 1.

Thus, LCM of Fractions is 3517878.Finally, LCM of Fractions for 42/981, 221/347, 758/368 is 3517878.