Least Common Multiple of 921/614, 141/462, 956/342

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 921/614, 141/462, 956/342 quickly i.e. 20691186 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 921/614, 141/462, 956/342 is 20691186.

LCM(921/614, 141/462, 956/342) = 20691186

LCM of 921/614, 141/462, 956/342

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 921/614,141/462,956/342

Given numbers are 921/614,141/462,956/342

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 921,141,956

Least Common Multiple of Numerators i.e. LCM of 921,141,956 is 41382372.

GCF of Denominators means GCF of 614,462,342 as per the given fractions.

GCF of 614,462,342 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 921,141,956

LCM of Fractions 921/614,141/462,956/342 is 20691186

3 921, 141, 956
307, 47, 956

∴ So the LCM of the given numbers is 3 x 307 x 47 x 956 = 41382372

Least Common Multiple of 921,141,956 with GCF Formula

Least Common Multiple of 921,141,956 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 921,141,956 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(921,141,956) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(921,141,956) x common factors =1 x 3 = 3

LCM(921,141,956) = ( 921 × 141 × 956 ) / 3

LCM(921,141,956) = 124147116 / 3

LCM(921,141,956) = 41382372


Lets's calculate GCF of 614,462,342

2 614, 462, 342
307, 231, 171

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41382372/2

Therefore the LCM of Fractions 921/614,141/462,956/342 is 20691186

Greatest Common Factor of 614,462,342 By Matching Biggest Common Factor Method

Greatest Common Factor of 614,462,342 By Matching Biggest Common Factor Method

Factors of 614

List of positive integer factors of 614 that divides 614 without a remainder.

1,2,307,614

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Factors of 342

List of positive integer factors of 342 that divides 342 without a remainder.

1,2,3,6,9,18,19,38,57,114,171,342

Greatest Common Factor

We found the factors 614,462,342 . The biggest common factor number is the GCF number.
So the greatest common factor 614,462,342 is 2.


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 921/614, 141/462, 956/342

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 921/614, 141/462, 956/342?

Answer: LCM of Numerators as per given numbers 921/614, 141/462, 956/342 is

LCM of Numerators i.e. for 921,141,956 is 41382372

GCF of denominators i.e. for 614,462,342 is 2.

Thus, LCM of Fractions is 20691186.Finally, LCM of Fractions for 921/614, 141/462, 956/342 is 20691186.