Least Common Multiple of 480/661, 7570/618

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 480/661, 7570/618 quickly i.e. 363360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 480/661, 7570/618 is 363360.

LCM(480/661, 7570/618) = 363360

LCM of 480/661, 7570/618

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 480/661,7570/618

Given numbers are 480/661,7570/618

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 480,7570

Least Common Multiple of Numerators i.e. LCM of 480,7570 is 363360.

GCF of Denominators means GCF of 661,618 as per the given fractions.

GCF of 661,618 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 480,7570

LCM of Fractions 480/661,7570/618 is 363360

2 480, 7570
5 240, 3785
48, 757

∴ So the LCM of the given numbers is 2 x 5 x 48 x 757 = 363360

Least Common Multiple of 480,7570 with GCF Formula

Least Common Multiple of 480,7570 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 480,7570 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(480,7570) = 10

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

GCF(480,7570) x common factors =10 x 1 = 10

LCM(480,7570) = ( 480 × 7570 ) / 10

LCM(480,7570) = 3633600 / 10

LCM(480,7570) = 363360


Lets's calculate GCF of 661,618

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 363360/1

Therefore the LCM of Fractions 480/661,7570/618 is 363360

Greatest Common Factor of 661,618 By Matching Biggest Common Factor Method

Greatest Common Factor of 661,618 By Matching Biggest Common Factor Method

Factors of 661

List of positive integer factors of 661 that divides 661 without a remainder.

1,661

Factors of 618

List of positive integer factors of 618 that divides 618 without a remainder.

1,2,3,6,103,206,309,618

Greatest Common Factor

We found the factors 661,618 . The biggest common factor number is the GCF number.
So the greatest common factor 661,618 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 480/661, 7570/618

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 480/661, 7570/618?

Answer: LCM of Numerators as per given numbers 480/661, 7570/618 is

LCM of Numerators i.e. for 480,7570 is 363360

GCF of denominators i.e. for 661,618 is 1.

Thus, LCM of Fractions is 363360.Finally, LCM of Fractions for 480/661, 7570/618 is 363360.