Least Common Multiple of 46/180, 90/756, 156/421

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/180, 90/756, 156/421 quickly i.e. 53820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/180, 90/756, 156/421 is 53820.

LCM(46/180, 90/756, 156/421) = 53820

LCM of 46/180, 90/756, 156/421

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 46/180,90/756,156/421

Given numbers are 46/180,90/756,156/421

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 46,90,156

Least Common Multiple of Numerators i.e. LCM of 46,90,156 is 53820.

GCF of Denominators means GCF of 180,756,421 as per the given fractions.

GCF of 180,756,421 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,90,156

LCM of Fractions 46/180,90/756,156/421 is 53820

2 46, 90, 156
3 23, 45, 78
23, 15, 26

∴ So the LCM of the given numbers is 2 x 3 x 23 x 15 x 26 = 53820

Least Common Multiple of 46,90,156 with GCF Formula

Least Common Multiple of 46,90,156 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 46,90,156 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,90,156) = 2

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

GCF(46,90,156) x common factors =2 x 6 = 12

LCM(46,90,156) = ( 46 × 90 × 156 ) / 12

LCM(46,90,156) = 645840 / 12

LCM(46,90,156) = 53820


Lets's calculate GCF of 180,756,421

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 53820/1

Therefore the LCM of Fractions 46/180,90/756,156/421 is 53820

Greatest Common Factor of 180,756,421 By Matching Biggest Common Factor Method

Greatest Common Factor of 180,756,421 By Matching Biggest Common Factor Method

Factors of 180

List of positive integer factors of 180 that divides 180 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180

Factors of 756

List of positive integer factors of 756 that divides 756 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756

Factors of 421

List of positive integer factors of 421 that divides 421 without a remainder.

1,421

Greatest Common Factor

We found the factors 180,756,421 . The biggest common factor number is the GCF number.
So the greatest common factor 180,756,421 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 46/180, 90/756, 156/421

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 46/180, 90/756, 156/421?

Answer: LCM of Numerators as per given numbers 46/180, 90/756, 156/421 is

LCM of Numerators i.e. for 46,90,156 is 53820

GCF of denominators i.e. for 180,756,421 is 1.

Thus, LCM of Fractions is 53820.Finally, LCM of Fractions for 46/180, 90/756, 156/421 is 53820.