Least Common Multiple of 36/506, 12/236, 918/870

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/506, 12/236, 918/870 quickly i.e. 918 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/506, 12/236, 918/870 is 918.

LCM(36/506, 12/236, 918/870) = 918

LCM of 36/506, 12/236, 918/870

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 36/506,12/236,918/870

Given numbers are 36/506,12/236,918/870

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 36,12,918

Least Common Multiple of Numerators i.e. LCM of 36,12,918 is 1836.

GCF of Denominators means GCF of 506,236,870 as per the given fractions.

GCF of 506,236,870 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,12,918

LCM of Fractions 36/506,12/236,918/870 is 918

2 36, 12, 918
2 18, 6, 459
3 9, 3, 459
3 1, 3, 153
1, 1, 51

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 1 x 1 x 51 = 1836

Least Common Multiple of 36,12,918 with GCF Formula

Least Common Multiple of 36,12,918 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 36,12,918 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,12,918) = 6

common factors(in case of two or more numbers have common factors) = 36

GCF(36,12,918) x common factors =6 x 36 = 216

LCM(36,12,918) = ( 36 × 12 × 918 ) / 216

LCM(36,12,918) = 396576 / 216

LCM(36,12,918) = 1836


Lets's calculate GCF of 506,236,870

2 506, 236, 870
253, 118, 435

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1836/2

Therefore the LCM of Fractions 36/506,12/236,918/870 is 918

Greatest Common Factor of 506,236,870 By Matching Biggest Common Factor Method

Greatest Common Factor of 506,236,870 By Matching Biggest Common Factor Method

Factors of 506

List of positive integer factors of 506 that divides 506 without a remainder.

1,2,11,22,23,46,253,506

Factors of 236

List of positive integer factors of 236 that divides 236 without a remainder.

1,2,4,59,118,236

Factors of 870

List of positive integer factors of 870 that divides 870 without a remainder.

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Greatest Common Factor

We found the factors 506,236,870 . The biggest common factor number is the GCF number.
So the greatest common factor 506,236,870 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 36/506, 12/236, 918/870

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 36/506, 12/236, 918/870?

Answer: LCM of Numerators as per given numbers 36/506, 12/236, 918/870 is

LCM of Numerators i.e. for 36,12,918 is 1836

GCF of denominators i.e. for 506,236,870 is 2.

Thus, LCM of Fractions is 918.Finally, LCM of Fractions for 36/506, 12/236, 918/870 is 918.