Least Common Multiple of 3680/60, 7035/144

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3680/60, 7035/144 quickly i.e. 431480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3680/60, 7035/144 is 431480.

LCM(3680/60, 7035/144) = 431480

LCM of 3680/60, 7035/144

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 3680/60,7035/144

Given numbers are 3680/60,7035/144

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 3680,7035

Least Common Multiple of Numerators i.e. LCM of 3680,7035 is 5177760.

GCF of Denominators means GCF of 60,144 as per the given fractions.

GCF of 60,144 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3680,7035

LCM of Fractions 3680/60,7035/144 is 431480

5 3680, 7035
736, 1407

∴ So the LCM of the given numbers is 5 x 736 x 1407 = 5177760

Least Common Multiple of 3680,7035 with GCF Formula

Least Common Multiple of 3680,7035 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 3680,7035 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3680,7035) = 5

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

GCF(3680,7035) x common factors =5 x 1 = 5

LCM(3680,7035) = ( 3680 × 7035 ) / 5

LCM(3680,7035) = 25888800 / 5

LCM(3680,7035) = 5177760


Lets's calculate GCF of 60,144

2 60, 144
2 30, 72
3 15, 36
5, 12

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5177760/12

Therefore the LCM of Fractions 3680/60,7035/144 is 431480

Greatest Common Factor of 60,144 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,144 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Greatest Common Factor

We found the factors 60,144 . The biggest common factor number is the GCF number.
So the greatest common factor 60,144 is 12.


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 3680/60, 7035/144

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 3680/60, 7035/144?

Answer: LCM of Numerators as per given numbers 3680/60, 7035/144 is

LCM of Numerators i.e. for 3680,7035 is 5177760

GCF of denominators i.e. for 60,144 is 12.

Thus, LCM of Fractions is 431480.Finally, LCM of Fractions for 3680/60, 7035/144 is 431480.