Least Common Multiple of 37/78, 428/30, 399/296

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 37/78, 428/30, 399/296 quickly i.e. 3159282 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/78, 428/30, 399/296 is 3159282.

LCM(37/78, 428/30, 399/296) = 3159282

LCM of 37/78, 428/30, 399/296

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 37/78,428/30,399/296

Given numbers are 37/78,428/30,399/296

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 37,428,399

Least Common Multiple of Numerators i.e. LCM of 37,428,399 is 6318564.

GCF of Denominators means GCF of 78,30,296 as per the given fractions.

GCF of 78,30,296 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,428,399

LCM of Fractions 37/78,428/30,399/296 is 3159282

Given numbers has no common factors except 1. So, there LCM is their product i.e 6318564

Least Common Multiple of 37,428,399 with GCF Formula

Least Common Multiple of 37,428,399 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 37,428,399 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,428,399) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(37,428,399) x common factors =1 x 1 = 1

LCM(37,428,399) = ( 37 × 428 × 399 ) / 1

LCM(37,428,399) = 6318564 / 1

LCM(37,428,399) = 6318564


Lets's calculate GCF of 78,30,296

2 78, 30, 296
39, 15, 148

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6318564/2

Therefore the LCM of Fractions 37/78,428/30,399/296 is 3159282

Greatest Common Factor of 78,30,296 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,30,296 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 296

List of positive integer factors of 296 that divides 296 without a remainder.

1,2,4,8,37,74,148,296

Greatest Common Factor

We found the factors 78,30,296 . The biggest common factor number is the GCF number.
So the greatest common factor 78,30,296 is 2.


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 37/78, 428/30, 399/296

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 37/78, 428/30, 399/296?

Answer: LCM of Numerators as per given numbers 37/78, 428/30, 399/296 is

LCM of Numerators i.e. for 37,428,399 is 6318564

GCF of denominators i.e. for 78,30,296 is 2.

Thus, LCM of Fractions is 3159282.Finally, LCM of Fractions for 37/78, 428/30, 399/296 is 3159282.