Least Common Multiple of 42/36, 87/934, 229/496

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/36, 87/934, 229/496 quickly i.e. 139461 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/36, 87/934, 229/496 is 139461.

LCM(42/36, 87/934, 229/496) = 139461

LCM of 42/36, 87/934, 229/496

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 42/36,87/934,229/496

Given numbers are 42/36,87/934,229/496

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 42,87,229

Least Common Multiple of Numerators i.e. LCM of 42,87,229 is 278922.

GCF of Denominators means GCF of 36,934,496 as per the given fractions.

GCF of 36,934,496 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,87,229

LCM of Fractions 42/36,87/934,229/496 is 139461

3 42, 87, 229
14, 29, 229

∴ So the LCM of the given numbers is 3 x 14 x 29 x 229 = 278922

Least Common Multiple of 42,87,229 with GCF Formula

Least Common Multiple of 42,87,229 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 42,87,229 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,87,229) = 1

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

GCF(42,87,229) x common factors =1 x 3 = 3

LCM(42,87,229) = ( 42 × 87 × 229 ) / 3

LCM(42,87,229) = 836766 / 3

LCM(42,87,229) = 278922


Lets's calculate GCF of 36,934,496

2 36, 934, 496
18, 467, 248

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 278922/2

Therefore the LCM of Fractions 42/36,87/934,229/496 is 139461

Greatest Common Factor of 36,934,496 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,934,496 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 934

List of positive integer factors of 934 that divides 934 without a remainder.

1,2,467,934

Factors of 496

List of positive integer factors of 496 that divides 496 without a remainder.

1,2,4,8,16,31,62,124,248,496

Greatest Common Factor

We found the factors 36,934,496 . The biggest common factor number is the GCF number.
So the greatest common factor 36,934,496 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 42/36, 87/934, 229/496

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 42/36, 87/934, 229/496?

Answer: LCM of Numerators as per given numbers 42/36, 87/934, 229/496 is

LCM of Numerators i.e. for 42,87,229 is 278922

GCF of denominators i.e. for 36,934,496 is 2.

Thus, LCM of Fractions is 139461.Finally, LCM of Fractions for 42/36, 87/934, 229/496 is 139461.