Least Common Multiple of 153/180, 1770/507

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 153/180, 1770/507 quickly i.e. 30090 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 153/180, 1770/507 is 30090.

LCM(153/180, 1770/507) = 30090

LCM of 153/180, 1770/507

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 153/180,1770/507

Given numbers are 153/180,1770/507

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 153,1770

Least Common Multiple of Numerators i.e. LCM of 153,1770 is 90270.

GCF of Denominators means GCF of 180,507 as per the given fractions.

GCF of 180,507 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 153,1770

LCM of Fractions 153/180,1770/507 is 30090

3 153, 1770
51, 590

∴ So the LCM of the given numbers is 3 x 51 x 590 = 90270

Least Common Multiple of 153,1770 with GCF Formula

Least Common Multiple of 153,1770 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 153,1770 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(153,1770) = 3

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

GCF(153,1770) x common factors =3 x 1 = 3

LCM(153,1770) = ( 153 × 1770 ) / 3

LCM(153,1770) = 270810 / 3

LCM(153,1770) = 90270


Lets's calculate GCF of 180,507

3 180, 507
60, 169

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 90270/3

Therefore the LCM of Fractions 153/180,1770/507 is 30090

Greatest Common Factor of 180,507 By Matching Biggest Common Factor Method

Greatest Common Factor of 180,507 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 507

List of positive integer factors of 507 that divides 507 without a remainder.

1,3,13,39,169,507

Greatest Common Factor

We found the factors 180,507 . The biggest common factor number is the GCF number.
So the greatest common factor 180,507 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 153/180, 1770/507

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 153/180, 1770/507?

Answer: LCM of Numerators as per given numbers 153/180, 1770/507 is

LCM of Numerators i.e. for 153,1770 is 90270

GCF of denominators i.e. for 180,507 is 3.

Thus, LCM of Fractions is 30090.Finally, LCM of Fractions for 153/180, 1770/507 is 30090.