Least Common Multiple of 96/70, 29/45, 42/22, 281/12

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/70, 29/45, 42/22, 281/12 quickly i.e. 5476128 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/70, 29/45, 42/22, 281/12 is 5476128.

LCM(96/70, 29/45, 42/22, 281/12) = 5476128

LCM of 96/70, 29/45, 42/22, 281/12

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 96/70,29/45,42/22,281/12

Given numbers are 96/70,29/45,42/22,281/12

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 96,29,42,281

Least Common Multiple of Numerators i.e. LCM of 96,29,42,281 is 5476128.

GCF of Denominators means GCF of 70,45,22,12 as per the given fractions.

GCF of 70,45,22,12 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,29,42,281

LCM of Fractions 96/70,29/45,42/22,281/12 is 5476128

2 96, 29, 42, 281
3 48, 29, 21, 281
16, 29, 7, 281

∴ So the LCM of the given numbers is 2 x 3 x 16 x 29 x 7 x 281 = 5476128

Least Common Multiple of 96,29,42,281 with GCF Formula

Least Common Multiple of 96,29,42,281 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 96,29,42,281 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,29,42,281) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(96,29,42,281) x common factors =1 x 6 = 6

LCM(96,29,42,281) = ( 96 × 29 × 42 × 281 ) / 6

LCM(96,29,42,281) = 32856768 / 6

LCM(96,29,42,281) = 5476128


Lets's calculate GCF of 70,45,22,12

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5476128/1

Therefore the LCM of Fractions 96/70,29/45,42/22,281/12 is 5476128

Greatest Common Factor of 70,45,22,12 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,45,22,12 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 22

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

1,2,11,22

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Greatest Common Factor

We found the factors 70,45,22,12 . The biggest common factor number is the GCF number.
So the greatest common factor 70,45,22,12 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 96/70, 29/45, 42/22, 281/12

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 96/70, 29/45, 42/22, 281/12?

Answer: LCM of Numerators as per given numbers 96/70, 29/45, 42/22, 281/12 is

LCM of Numerators i.e. for 96,29,42,281 is 5476128

GCF of denominators i.e. for 70,45,22,12 is 1.

Thus, LCM of Fractions is 5476128.Finally, LCM of Fractions for 96/70, 29/45, 42/22, 281/12 is 5476128.