Least Common Multiple of 42/22, 271/97, 430/576

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/22, 271/97, 430/576 quickly i.e. 2447130 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/22, 271/97, 430/576 is 2447130.

LCM(42/22, 271/97, 430/576) = 2447130

LCM of 42/22, 271/97, 430/576

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 42/22,271/97,430/576

Given numbers are 42/22,271/97,430/576

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 42,271,430

Least Common Multiple of Numerators i.e. LCM of 42,271,430 is 2447130.

GCF of Denominators means GCF of 22,97,576 as per the given fractions.

GCF of 22,97,576 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,271,430

LCM of Fractions 42/22,271/97,430/576 is 2447130

2 42, 271, 430
21, 271, 215

∴ So the LCM of the given numbers is 2 x 21 x 271 x 215 = 2447130

Least Common Multiple of 42,271,430 with GCF Formula

Least Common Multiple of 42,271,430 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 42,271,430 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,271,430) = 1

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

GCF(42,271,430) x common factors =1 x 2 = 2

LCM(42,271,430) = ( 42 × 271 × 430 ) / 2

LCM(42,271,430) = 4894260 / 2

LCM(42,271,430) = 2447130


Lets's calculate GCF of 22,97,576

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2447130/1

Therefore the LCM of Fractions 42/22,271/97,430/576 is 2447130

Greatest Common Factor of 22,97,576 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,97,576 By Matching Biggest Common Factor Method

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 576

List of positive integer factors of 576 that divides 576 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,144,192,288,576

Greatest Common Factor

We found the factors 22,97,576 . The biggest common factor number is the GCF number.
So the greatest common factor 22,97,576 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 42/22, 271/97, 430/576

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 42/22, 271/97, 430/576?

Answer: LCM of Numerators as per given numbers 42/22, 271/97, 430/576 is

LCM of Numerators i.e. for 42,271,430 is 2447130

GCF of denominators i.e. for 22,97,576 is 1.

Thus, LCM of Fractions is 2447130.Finally, LCM of Fractions for 42/22, 271/97, 430/576 is 2447130.