Least Common Multiple of 31/44, 48/28, 374/304

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/44, 48/28, 374/304 quickly i.e. 69564 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/44, 48/28, 374/304 is 69564.

LCM(31/44, 48/28, 374/304) = 69564

LCM of 31/44, 48/28, 374/304

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 31/44,48/28,374/304

Given numbers are 31/44,48/28,374/304

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 31,48,374

Least Common Multiple of Numerators i.e. LCM of 31,48,374 is 278256.

GCF of Denominators means GCF of 44,28,304 as per the given fractions.

GCF of 44,28,304 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,48,374

LCM of Fractions 31/44,48/28,374/304 is 69564

2 31, 48, 374
31, 24, 187

∴ So the LCM of the given numbers is 2 x 31 x 24 x 187 = 278256

Least Common Multiple of 31,48,374 with GCF Formula

Least Common Multiple of 31,48,374 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 31,48,374 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,48,374) = 1

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

GCF(31,48,374) x common factors =1 x 2 = 2

LCM(31,48,374) = ( 31 × 48 × 374 ) / 2

LCM(31,48,374) = 556512 / 2

LCM(31,48,374) = 278256


Lets's calculate GCF of 44,28,304

2 44, 28, 304
2 22, 14, 152
11, 7, 76

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 278256/4

Therefore the LCM of Fractions 31/44,48/28,374/304 is 69564

Greatest Common Factor of 44,28,304 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,28,304 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 304

List of positive integer factors of 304 that divides 304 without a remainder.

1,2,4,8,16,19,38,76,152,304

Greatest Common Factor

We found the factors 44,28,304 . The biggest common factor number is the GCF number.
So the greatest common factor 44,28,304 is 4.


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 31/44, 48/28, 374/304

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 31/44, 48/28, 374/304?

Answer: LCM of Numerators as per given numbers 31/44, 48/28, 374/304 is

LCM of Numerators i.e. for 31,48,374 is 278256

GCF of denominators i.e. for 44,28,304 is 4.

Thus, LCM of Fractions is 69564.Finally, LCM of Fractions for 31/44, 48/28, 374/304 is 69564.