Least Common Multiple of 69/72, 598/42, 147/638

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/72, 598/42, 147/638 quickly i.e. 43953 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/72, 598/42, 147/638 is 43953.

LCM(69/72, 598/42, 147/638) = 43953

LCM of 69/72, 598/42, 147/638

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 69/72,598/42,147/638

Given numbers are 69/72,598/42,147/638

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 69,598,147

Least Common Multiple of Numerators i.e. LCM of 69,598,147 is 87906.

GCF of Denominators means GCF of 72,42,638 as per the given fractions.

GCF of 72,42,638 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,598,147

LCM of Fractions 69/72,598/42,147/638 is 43953

3 69, 598, 147
23 23, 598, 49
1, 26, 49

∴ So the LCM of the given numbers is 3 x 23 x 1 x 26 x 49 = 87906

Least Common Multiple of 69,598,147 with GCF Formula

Least Common Multiple of 69,598,147 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 69,598,147 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,598,147) = 1

common factors(in case of two or more numbers have common factors) = 69

GCF(69,598,147) x common factors =1 x 69 = 69

LCM(69,598,147) = ( 69 × 598 × 147 ) / 69

LCM(69,598,147) = 6065514 / 69

LCM(69,598,147) = 87906


Lets's calculate GCF of 72,42,638

2 72, 42, 638
36, 21, 319

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 87906/2

Therefore the LCM of Fractions 69/72,598/42,147/638 is 43953

Greatest Common Factor of 72,42,638 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,42,638 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

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 638

List of positive integer factors of 638 that divides 638 without a remainder.

1,2,11,22,29,58,319,638

Greatest Common Factor

We found the factors 72,42,638 . The biggest common factor number is the GCF number.
So the greatest common factor 72,42,638 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 69/72, 598/42, 147/638

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 69/72, 598/42, 147/638?

Answer: LCM of Numerators as per given numbers 69/72, 598/42, 147/638 is

LCM of Numerators i.e. for 69,598,147 is 87906

GCF of denominators i.e. for 72,42,638 is 2.

Thus, LCM of Fractions is 43953.Finally, LCM of Fractions for 69/72, 598/42, 147/638 is 43953.