Least Common Multiple of 12/74, 178/37, 418/777

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 12/74, 178/37, 418/777 quickly i.e. 223212/37 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/74, 178/37, 418/777 is 223212/37.

LCM(12/74, 178/37, 418/777) = 223212/37

LCM of 12/74, 178/37, 418/777

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 12/74,178/37,418/777

Given numbers are 12/74,178/37,418/777

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 12,178,418

Least Common Multiple of Numerators i.e. LCM of 12,178,418 is 223212.

GCF of Denominators means GCF of 74,37,777 as per the given fractions.

GCF of 74,37,777 is 37 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,178,418

LCM of Fractions 12/74,178/37,418/777 is 223212/37

2 12, 178, 418
6, 89, 209

∴ So the LCM of the given numbers is 2 x 6 x 89 x 209 = 223212

Least Common Multiple of 12,178,418 with GCF Formula

Least Common Multiple of 12,178,418 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 12,178,418 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,178,418) = 2

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

GCF(12,178,418) x common factors =2 x 2 = 4

LCM(12,178,418) = ( 12 × 178 × 418 ) / 4

LCM(12,178,418) = 892848 / 4

LCM(12,178,418) = 223212


Lets's calculate GCF of 74,37,777

37 74, 37, 777
2, 1, 21

∴ So the GCF of the given numbers is 37 = 37

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 223212/37

Therefore the LCM of Fractions 12/74,178/37,418/777 is 223212/37

Greatest Common Factor of 74,37,777 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,37,777 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 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 777

List of positive integer factors of 777 that divides 777 without a remainder.

1,3,7,21,37,111,259,777

Greatest Common Factor

We found the factors 74,37,777 . The biggest common factor number is the GCF number.
So the greatest common factor 74,37,777 is 37.


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 12/74, 178/37, 418/777

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 12/74, 178/37, 418/777?

Answer: LCM of Numerators as per given numbers 12/74, 178/37, 418/777 is

LCM of Numerators i.e. for 12,178,418 is 223212

GCF of denominators i.e. for 74,37,777 is 37.

Thus, LCM of Fractions is 223212/37.Finally, LCM of Fractions for 12/74, 178/37, 418/777 is 223212/37.