Least Common Multiple of 42/599, 77/855, 615/315

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/599, 77/855, 615/315 quickly i.e. 94710 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/599, 77/855, 615/315 is 94710.

LCM(42/599, 77/855, 615/315) = 94710

LCM of 42/599, 77/855, 615/315

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 42/599,77/855,615/315

Given numbers are 42/599,77/855,615/315

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 42,77,615

Least Common Multiple of Numerators i.e. LCM of 42,77,615 is 94710.

GCF of Denominators means GCF of 599,855,315 as per the given fractions.

GCF of 599,855,315 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,77,615

LCM of Fractions 42/599,77/855,615/315 is 94710

3 42, 77, 615
7 14, 77, 205
2, 11, 205

∴ So the LCM of the given numbers is 3 x 7 x 2 x 11 x 205 = 94710

Least Common Multiple of 42,77,615 with GCF Formula

Least Common Multiple of 42,77,615 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 42,77,615 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,77,615) = 1

common factors(in case of two or more numbers have common factors) = 21

GCF(42,77,615) x common factors =1 x 21 = 21

LCM(42,77,615) = ( 42 × 77 × 615 ) / 21

LCM(42,77,615) = 1988910 / 21

LCM(42,77,615) = 94710


Lets's calculate GCF of 599,855,315

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 94710/1

Therefore the LCM of Fractions 42/599,77/855,615/315 is 94710

Greatest Common Factor of 599,855,315 By Matching Biggest Common Factor Method

Greatest Common Factor of 599,855,315 By Matching Biggest Common Factor Method

Factors of 599

List of positive integer factors of 599 that divides 599 without a remainder.

1,599

Factors of 855

List of positive integer factors of 855 that divides 855 without a remainder.

1,3,5,9,15,19,45,57,95,171,285,855

Factors of 315

List of positive integer factors of 315 that divides 315 without a remainder.

1,3,5,7,9,15,21,35,45,63,105,315

Greatest Common Factor

We found the factors 599,855,315 . The biggest common factor number is the GCF number.
So the greatest common factor 599,855,315 is 1.


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 42/599, 77/855, 615/315

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 42/599, 77/855, 615/315?

Answer: LCM of Numerators as per given numbers 42/599, 77/855, 615/315 is

LCM of Numerators i.e. for 42,77,615 is 94710

GCF of denominators i.e. for 599,855,315 is 1.

Thus, LCM of Fractions is 94710.Finally, LCM of Fractions for 42/599, 77/855, 615/315 is 94710.