Least Common Multiple of 671/74, 230/97, 304/40

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 671/74, 230/97, 304/40 quickly i.e. 23458160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 671/74, 230/97, 304/40 is 23458160.

LCM(671/74, 230/97, 304/40) = 23458160

LCM of 671/74, 230/97, 304/40

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 671/74,230/97,304/40

Given numbers are 671/74,230/97,304/40

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 671,230,304

Least Common Multiple of Numerators i.e. LCM of 671,230,304 is 23458160.

GCF of Denominators means GCF of 74,97,40 as per the given fractions.

GCF of 74,97,40 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 671,230,304

LCM of Fractions 671/74,230/97,304/40 is 23458160

2 671, 230, 304
671, 115, 152

∴ So the LCM of the given numbers is 2 x 671 x 115 x 152 = 23458160

Least Common Multiple of 671,230,304 with GCF Formula

Least Common Multiple of 671,230,304 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 671,230,304 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(671,230,304) = 1

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

GCF(671,230,304) x common factors =1 x 2 = 2

LCM(671,230,304) = ( 671 × 230 × 304 ) / 2

LCM(671,230,304) = 46916320 / 2

LCM(671,230,304) = 23458160


Lets's calculate GCF of 74,97,40

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23458160/1

Therefore the LCM of Fractions 671/74,230/97,304/40 is 23458160

Greatest Common Factor of 74,97,40 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,97,40 By Matching Biggest Common Factor Method

Factors of 74

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

1,2,37,74

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Greatest Common Factor

We found the factors 74,97,40 . The biggest common factor number is the GCF number.
So the greatest common factor 74,97,40 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 671/74, 230/97, 304/40

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 671/74, 230/97, 304/40?

Answer: LCM of Numerators as per given numbers 671/74, 230/97, 304/40 is

LCM of Numerators i.e. for 671,230,304 is 23458160

GCF of denominators i.e. for 74,97,40 is 1.

Thus, LCM of Fractions is 23458160.Finally, LCM of Fractions for 671/74, 230/97, 304/40 is 23458160.