Least Common Multiple of 74/331, 72/999, 861/197

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/331, 72/999, 861/197 quickly i.e. 764568 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/331, 72/999, 861/197 is 764568.

LCM(74/331, 72/999, 861/197) = 764568

LCM of 74/331, 72/999, 861/197

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 74/331,72/999,861/197

Given numbers are 74/331,72/999,861/197

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 74,72,861

Least Common Multiple of Numerators i.e. LCM of 74,72,861 is 764568.

GCF of Denominators means GCF of 331,999,197 as per the given fractions.

GCF of 331,999,197 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,72,861

LCM of Fractions 74/331,72/999,861/197 is 764568

2 74, 72, 861
3 37, 36, 861
37, 12, 287

∴ So the LCM of the given numbers is 2 x 3 x 37 x 12 x 287 = 764568

Least Common Multiple of 74,72,861 with GCF Formula

Least Common Multiple of 74,72,861 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 74,72,861 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,72,861) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(74,72,861) x common factors =1 x 6 = 6

LCM(74,72,861) = ( 74 × 72 × 861 ) / 6

LCM(74,72,861) = 4587408 / 6

LCM(74,72,861) = 764568


Lets's calculate GCF of 331,999,197

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 764568/1

Therefore the LCM of Fractions 74/331,72/999,861/197 is 764568

Greatest Common Factor of 331,999,197 By Matching Biggest Common Factor Method

Greatest Common Factor of 331,999,197 By Matching Biggest Common Factor Method

Factors of 331

List of positive integer factors of 331 that divides 331 without a remainder.

1,331

Factors of 999

List of positive integer factors of 999 that divides 999 without a remainder.

1,3,9,27,37,111,333,999

Factors of 197

List of positive integer factors of 197 that divides 197 without a remainder.

1,197

Greatest Common Factor

We found the factors 331,999,197 . The biggest common factor number is the GCF number.
So the greatest common factor 331,999,197 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 74/331, 72/999, 861/197

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 74/331, 72/999, 861/197?

Answer: LCM of Numerators as per given numbers 74/331, 72/999, 861/197 is

LCM of Numerators i.e. for 74,72,861 is 764568

GCF of denominators i.e. for 331,999,197 is 1.

Thus, LCM of Fractions is 764568.Finally, LCM of Fractions for 74/331, 72/999, 861/197 is 764568.