Least Common Multiple of 37/138, 858/296, 743/884

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 37/138, 858/296, 743/884 quickly i.e. 11793639 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/138, 858/296, 743/884 is 11793639.

LCM(37/138, 858/296, 743/884) = 11793639

LCM of 37/138, 858/296, 743/884

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 37/138,858/296,743/884

Given numbers are 37/138,858/296,743/884

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 37,858,743

Least Common Multiple of Numerators i.e. LCM of 37,858,743 is 23587278.

GCF of Denominators means GCF of 138,296,884 as per the given fractions.

GCF of 138,296,884 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,858,743

LCM of Fractions 37/138,858/296,743/884 is 11793639

Given numbers has no common factors except 1. So, there LCM is their product i.e 23587278

Least Common Multiple of 37,858,743 with GCF Formula

Least Common Multiple of 37,858,743 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 37,858,743 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,858,743) = 1

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

GCF(37,858,743) x common factors =1 x 1 = 1

LCM(37,858,743) = ( 37 × 858 × 743 ) / 1

LCM(37,858,743) = 23587278 / 1

LCM(37,858,743) = 23587278


Lets's calculate GCF of 138,296,884

2 138, 296, 884
69, 148, 442

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23587278/2

Therefore the LCM of Fractions 37/138,858/296,743/884 is 11793639

Greatest Common Factor of 138,296,884 By Matching Biggest Common Factor Method

Greatest Common Factor of 138,296,884 By Matching Biggest Common Factor Method

Factors of 138

List of positive integer factors of 138 that divides 138 without a remainder.

1,2,3,6,23,46,69,138

Factors of 296

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

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

Factors of 884

List of positive integer factors of 884 that divides 884 without a remainder.

1,2,4,13,17,26,34,52,68,221,442,884

Greatest Common Factor

We found the factors 138,296,884 . The biggest common factor number is the GCF number.
So the greatest common factor 138,296,884 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 37/138, 858/296, 743/884

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 37/138, 858/296, 743/884?

Answer: LCM of Numerators as per given numbers 37/138, 858/296, 743/884 is

LCM of Numerators i.e. for 37,858,743 is 23587278

GCF of denominators i.e. for 138,296,884 is 2.

Thus, LCM of Fractions is 11793639.Finally, LCM of Fractions for 37/138, 858/296, 743/884 is 11793639.