Least Common Multiple of 120/36, 630/3015

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 120/36, 630/3015 quickly i.e. 280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 120/36, 630/3015 is 280.

LCM(120/36, 630/3015) = 280

LCM of 120/36, 630/3015

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 120/36,630/3015

Given numbers are 120/36,630/3015

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 120,630

Least Common Multiple of Numerators i.e. LCM of 120,630 is 2520.

GCF of Denominators means GCF of 36,3015 as per the given fractions.

GCF of 36,3015 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 120,630

LCM of Fractions 120/36,630/3015 is 280

2 120, 630
3 60, 315
5 20, 105
4, 21

∴ So the LCM of the given numbers is 2 x 3 x 5 x 4 x 21 = 2520

Least Common Multiple of 120,630 with GCF Formula

Least Common Multiple of 120,630 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 120,630 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(120,630) = 30

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

GCF(120,630) x common factors =30 x 1 = 30

LCM(120,630) = ( 120 × 630 ) / 30

LCM(120,630) = 75600 / 30

LCM(120,630) = 2520


Lets's calculate GCF of 36,3015

3 36, 3015
3 12, 1005
4, 335

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2520/9

Therefore the LCM of Fractions 120/36,630/3015 is 280

Greatest Common Factor of 36,3015 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,3015 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 3015

List of positive integer factors of 3015 that divides 3015 without a remainder.

1,3,5,9,15,45,67,201,335,603,1005,3015

Greatest Common Factor

We found the factors 36,3015 . The biggest common factor number is the GCF number.
So the greatest common factor 36,3015 is 9.


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 120/36, 630/3015

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 120/36, 630/3015?

Answer: LCM of Numerators as per given numbers 120/36, 630/3015 is

LCM of Numerators i.e. for 120,630 is 2520

GCF of denominators i.e. for 36,3015 is 9.

Thus, LCM of Fractions is 280.Finally, LCM of Fractions for 120/36, 630/3015 is 280.