Least Common Multiple of 660/24, 681/74, 955/321

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 660/24, 681/74, 955/321 quickly i.e. 28615620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 660/24, 681/74, 955/321 is 28615620.

LCM(660/24, 681/74, 955/321) = 28615620

LCM of 660/24, 681/74, 955/321

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 660/24,681/74,955/321

Given numbers are 660/24,681/74,955/321

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 660,681,955

Least Common Multiple of Numerators i.e. LCM of 660,681,955 is 28615620.

GCF of Denominators means GCF of 24,74,321 as per the given fractions.

GCF of 24,74,321 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 660,681,955

LCM of Fractions 660/24,681/74,955/321 is 28615620

3 660, 681, 955
5 220, 227, 955
44, 227, 191

∴ So the LCM of the given numbers is 3 x 5 x 44 x 227 x 191 = 28615620

Least Common Multiple of 660,681,955 with GCF Formula

Least Common Multiple of 660,681,955 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 660,681,955 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(660,681,955) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(660,681,955) x common factors =1 x 15 = 15

LCM(660,681,955) = ( 660 × 681 × 955 ) / 15

LCM(660,681,955) = 429234300 / 15

LCM(660,681,955) = 28615620


Lets's calculate GCF of 24,74,321

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28615620/1

Therefore the LCM of Fractions 660/24,681/74,955/321 is 28615620

Greatest Common Factor of 24,74,321 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,74,321 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 321

List of positive integer factors of 321 that divides 321 without a remainder.

1,3,107,321

Greatest Common Factor

We found the factors 24,74,321 . The biggest common factor number is the GCF number.
So the greatest common factor 24,74,321 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 660/24, 681/74, 955/321

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 660/24, 681/74, 955/321?

Answer: LCM of Numerators as per given numbers 660/24, 681/74, 955/321 is

LCM of Numerators i.e. for 660,681,955 is 28615620

GCF of denominators i.e. for 24,74,321 is 1.

Thus, LCM of Fractions is 28615620.Finally, LCM of Fractions for 660/24, 681/74, 955/321 is 28615620.