Least Common Multiple of 180/351, 2634/1668

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 180/351, 2634/1668 quickly i.e. 26340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 180/351, 2634/1668 is 26340.

LCM(180/351, 2634/1668) = 26340

LCM of 180/351, 2634/1668

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 180/351,2634/1668

Given numbers are 180/351,2634/1668

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 180,2634

Least Common Multiple of Numerators i.e. LCM of 180,2634 is 79020.

GCF of Denominators means GCF of 351,1668 as per the given fractions.

GCF of 351,1668 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 180,2634

LCM of Fractions 180/351,2634/1668 is 26340

2 180, 2634
3 90, 1317
30, 439

∴ So the LCM of the given numbers is 2 x 3 x 30 x 439 = 79020

Least Common Multiple of 180,2634 with GCF Formula

Least Common Multiple of 180,2634 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 180,2634 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(180,2634) = 6

common factors(in case of two or more numbers have common factors) = 1

GCF(180,2634) x common factors =6 x 1 = 6

LCM(180,2634) = ( 180 × 2634 ) / 6

LCM(180,2634) = 474120 / 6

LCM(180,2634) = 79020


Lets's calculate GCF of 351,1668

3 351, 1668
117, 556

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 79020/3

Therefore the LCM of Fractions 180/351,2634/1668 is 26340

Greatest Common Factor of 351,1668 By Matching Biggest Common Factor Method

Greatest Common Factor of 351,1668 By Matching Biggest Common Factor Method

Factors of 351

List of positive integer factors of 351 that divides 351 without a remainder.

1,3,9,13,27,39,117,351

Factors of 1668

List of positive integer factors of 1668 that divides 1668 without a remainder.

1,2,3,4,6,12,139,278,417,556,834,1668

Greatest Common Factor

We found the factors 351,1668 . The biggest common factor number is the GCF number.
So the greatest common factor 351,1668 is 3.


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 180/351, 2634/1668

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 180/351, 2634/1668?

Answer: LCM of Numerators as per given numbers 180/351, 2634/1668 is

LCM of Numerators i.e. for 180,2634 is 79020

GCF of denominators i.e. for 351,1668 is 3.

Thus, LCM of Fractions is 26340.Finally, LCM of Fractions for 180/351, 2634/1668 is 26340.