Least Common Multiple of 230/660, 613/997, 528/988

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 230/660, 613/997, 528/988 quickly i.e. 37221360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 230/660, 613/997, 528/988 is 37221360.

LCM(230/660, 613/997, 528/988) = 37221360

LCM of 230/660, 613/997, 528/988

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 230/660,613/997,528/988

Given numbers are 230/660,613/997,528/988

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 230,613,528

Least Common Multiple of Numerators i.e. LCM of 230,613,528 is 37221360.

GCF of Denominators means GCF of 660,997,988 as per the given fractions.

GCF of 660,997,988 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 230,613,528

LCM of Fractions 230/660,613/997,528/988 is 37221360

2 230, 613, 528
115, 613, 264

∴ So the LCM of the given numbers is 2 x 115 x 613 x 264 = 37221360

Least Common Multiple of 230,613,528 with GCF Formula

Least Common Multiple of 230,613,528 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 230,613,528 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(230,613,528) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(230,613,528) x common factors =1 x 2 = 2

LCM(230,613,528) = ( 230 × 613 × 528 ) / 2

LCM(230,613,528) = 74442720 / 2

LCM(230,613,528) = 37221360


Lets's calculate GCF of 660,997,988

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37221360/1

Therefore the LCM of Fractions 230/660,613/997,528/988 is 37221360

Greatest Common Factor of 660,997,988 By Matching Biggest Common Factor Method

Greatest Common Factor of 660,997,988 By Matching Biggest Common Factor Method

Factors of 660

List of positive integer factors of 660 that divides 660 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660

Factors of 997

List of positive integer factors of 997 that divides 997 without a remainder.

1,997

Factors of 988

List of positive integer factors of 988 that divides 988 without a remainder.

1,2,4,13,19,26,38,52,76,247,494,988

Greatest Common Factor

We found the factors 660,997,988 . The biggest common factor number is the GCF number.
So the greatest common factor 660,997,988 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 230/660, 613/997, 528/988

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 230/660, 613/997, 528/988?

Answer: LCM of Numerators as per given numbers 230/660, 613/997, 528/988 is

LCM of Numerators i.e. for 230,613,528 is 37221360

GCF of denominators i.e. for 660,997,988 is 1.

Thus, LCM of Fractions is 37221360.Finally, LCM of Fractions for 230/660, 613/997, 528/988 is 37221360.