Least Common Multiple of 42/426, 91/888, 973/663

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/426, 91/888, 973/663 quickly i.e. 25298 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/426, 91/888, 973/663 is 25298.

LCM(42/426, 91/888, 973/663) = 25298

LCM of 42/426, 91/888, 973/663

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 42/426,91/888,973/663

Given numbers are 42/426,91/888,973/663

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 42,91,973

Least Common Multiple of Numerators i.e. LCM of 42,91,973 is 75894.

GCF of Denominators means GCF of 426,888,663 as per the given fractions.

GCF of 426,888,663 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,91,973

LCM of Fractions 42/426,91/888,973/663 is 25298

7 42, 91, 973
6, 13, 139

∴ So the LCM of the given numbers is 7 x 6 x 13 x 139 = 75894

Least Common Multiple of 42,91,973 with GCF Formula

Least Common Multiple of 42,91,973 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 42,91,973 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,91,973) = 7

common factors(in case of two or more numbers have common factors) = 7

GCF(42,91,973) x common factors =7 x 7 = 49

LCM(42,91,973) = ( 42 × 91 × 973 ) / 49

LCM(42,91,973) = 3718806 / 49

LCM(42,91,973) = 75894


Lets's calculate GCF of 426,888,663

3 426, 888, 663
142, 296, 221

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 75894/3

Therefore the LCM of Fractions 42/426,91/888,973/663 is 25298

Greatest Common Factor of 426,888,663 By Matching Biggest Common Factor Method

Greatest Common Factor of 426,888,663 By Matching Biggest Common Factor Method

Factors of 426

List of positive integer factors of 426 that divides 426 without a remainder.

1,2,3,6,71,142,213,426

Factors of 888

List of positive integer factors of 888 that divides 888 without a remainder.

1,2,3,4,6,8,12,24,37,74,111,148,222,296,444,888

Factors of 663

List of positive integer factors of 663 that divides 663 without a remainder.

1,3,13,17,39,51,221,663

Greatest Common Factor

We found the factors 426,888,663 . The biggest common factor number is the GCF number.
So the greatest common factor 426,888,663 is 3.


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 42/426, 91/888, 973/663

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 42/426, 91/888, 973/663?

Answer: LCM of Numerators as per given numbers 42/426, 91/888, 973/663 is

LCM of Numerators i.e. for 42,91,973 is 75894

GCF of denominators i.e. for 426,888,663 is 3.

Thus, LCM of Fractions is 25298.Finally, LCM of Fractions for 42/426, 91/888, 973/663 is 25298.