Least Common Multiple of 973/30, 274/92, 642/244

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 973/30, 274/92, 642/244 quickly i.e. 42789621 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 973/30, 274/92, 642/244 is 42789621.

LCM(973/30, 274/92, 642/244) = 42789621

LCM of 973/30, 274/92, 642/244

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 973/30,274/92,642/244

Given numbers are 973/30,274/92,642/244

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 973,274,642

Least Common Multiple of Numerators i.e. LCM of 973,274,642 is 85579242.

GCF of Denominators means GCF of 30,92,244 as per the given fractions.

GCF of 30,92,244 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 973,274,642

LCM of Fractions 973/30,274/92,642/244 is 42789621

2 973, 274, 642
973, 137, 321

∴ So the LCM of the given numbers is 2 x 973 x 137 x 321 = 85579242

Least Common Multiple of 973,274,642 with GCF Formula

Least Common Multiple of 973,274,642 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 973,274,642 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(973,274,642) = 1

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

GCF(973,274,642) x common factors =1 x 2 = 2

LCM(973,274,642) = ( 973 × 274 × 642 ) / 2

LCM(973,274,642) = 171158484 / 2

LCM(973,274,642) = 85579242


Lets's calculate GCF of 30,92,244

2 30, 92, 244
15, 46, 122

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 85579242/2

Therefore the LCM of Fractions 973/30,274/92,642/244 is 42789621

Greatest Common Factor of 30,92,244 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,92,244 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 244

List of positive integer factors of 244 that divides 244 without a remainder.

1,2,4,61,122,244

Greatest Common Factor

We found the factors 30,92,244 . The biggest common factor number is the GCF number.
So the greatest common factor 30,92,244 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 973/30, 274/92, 642/244

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 973/30, 274/92, 642/244?

Answer: LCM of Numerators as per given numbers 973/30, 274/92, 642/244 is

LCM of Numerators i.e. for 973,274,642 is 85579242

GCF of denominators i.e. for 30,92,244 is 2.

Thus, LCM of Fractions is 42789621.Finally, LCM of Fractions for 973/30, 274/92, 642/244 is 42789621.