Least Common Multiple of 138/42, 489/38, 974/292

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 138/42, 489/38, 974/292 quickly i.e. 5477289 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 138/42, 489/38, 974/292 is 5477289.

LCM(138/42, 489/38, 974/292) = 5477289

LCM of 138/42, 489/38, 974/292

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 138/42,489/38,974/292

Given numbers are 138/42,489/38,974/292

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 138,489,974

Least Common Multiple of Numerators i.e. LCM of 138,489,974 is 10954578.

GCF of Denominators means GCF of 42,38,292 as per the given fractions.

GCF of 42,38,292 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 138,489,974

LCM of Fractions 138/42,489/38,974/292 is 5477289

2 138, 489, 974
3 69, 489, 487
23, 163, 487

∴ So the LCM of the given numbers is 2 x 3 x 23 x 163 x 487 = 10954578

Least Common Multiple of 138,489,974 with GCF Formula

Least Common Multiple of 138,489,974 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 138,489,974 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(138,489,974) = 1

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

GCF(138,489,974) x common factors =1 x 6 = 6

LCM(138,489,974) = ( 138 × 489 × 974 ) / 6

LCM(138,489,974) = 65727468 / 6

LCM(138,489,974) = 10954578


Lets's calculate GCF of 42,38,292

2 42, 38, 292
21, 19, 146

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10954578/2

Therefore the LCM of Fractions 138/42,489/38,974/292 is 5477289

Greatest Common Factor of 42,38,292 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,38,292 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 292

List of positive integer factors of 292 that divides 292 without a remainder.

1,2,4,73,146,292

Greatest Common Factor

We found the factors 42,38,292 . The biggest common factor number is the GCF number.
So the greatest common factor 42,38,292 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 138/42, 489/38, 974/292

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 138/42, 489/38, 974/292?

Answer: LCM of Numerators as per given numbers 138/42, 489/38, 974/292 is

LCM of Numerators i.e. for 138,489,974 is 10954578

GCF of denominators i.e. for 42,38,292 is 2.

Thus, LCM of Fractions is 5477289.Finally, LCM of Fractions for 138/42, 489/38, 974/292 is 5477289.