Least Common Multiple of 747/42, 155/42, 415/558

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 747/42, 155/42, 415/558 quickly i.e. 115785/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 747/42, 155/42, 415/558 is 115785/6.

LCM(747/42, 155/42, 415/558) = 115785/6

LCM of 747/42, 155/42, 415/558

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 747/42,155/42,415/558

Given numbers are 747/42,155/42,415/558

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 747,155,415

Least Common Multiple of Numerators i.e. LCM of 747,155,415 is 115785.

GCF of Denominators means GCF of 42,42,558 as per the given fractions.

GCF of 42,42,558 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 747,155,415

LCM of Fractions 747/42,155/42,415/558 is 115785/6

5 747, 155, 415
83 747, 31, 83
9, 31, 1

∴ So the LCM of the given numbers is 5 x 83 x 9 x 31 x 1 = 115785

Least Common Multiple of 747,155,415 with GCF Formula

Least Common Multiple of 747,155,415 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 747,155,415 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(747,155,415) = 1

common factors(in case of two or more numbers have common factors) = 415

GCF(747,155,415) x common factors =1 x 415 = 415

LCM(747,155,415) = ( 747 × 155 × 415 ) / 415

LCM(747,155,415) = 48050775 / 415

LCM(747,155,415) = 115785


Lets's calculate GCF of 42,42,558

2 42, 42, 558
3 21, 21, 279
7, 7, 93

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 115785/6

Therefore the LCM of Fractions 747/42,155/42,415/558 is 115785/6

Greatest Common Factor of 42,42,558 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,42,558 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 42

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

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

Factors of 558

List of positive integer factors of 558 that divides 558 without a remainder.

1,2,3,6,9,18,31,62,93,186,279,558

Greatest Common Factor

We found the factors 42,42,558 . The biggest common factor number is the GCF number.
So the greatest common factor 42,42,558 is 6.


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 747/42, 155/42, 415/558

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 747/42, 155/42, 415/558?

Answer: LCM of Numerators as per given numbers 747/42, 155/42, 415/558 is

LCM of Numerators i.e. for 747,155,415 is 115785

GCF of denominators i.e. for 42,42,558 is 6.

Thus, LCM of Fractions is 115785/6.Finally, LCM of Fractions for 747/42, 155/42, 415/558 is 115785/6.