Least Common Multiple of 510/85, 679/79, 315/201

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 510/85, 679/79, 315/201 quickly i.e. 1038870 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 510/85, 679/79, 315/201 is 1038870.

LCM(510/85, 679/79, 315/201) = 1038870

LCM of 510/85, 679/79, 315/201

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 510/85,679/79,315/201

Given numbers are 510/85,679/79,315/201

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 510,679,315

Least Common Multiple of Numerators i.e. LCM of 510,679,315 is 1038870.

GCF of Denominators means GCF of 85,79,201 as per the given fractions.

GCF of 85,79,201 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 510,679,315

LCM of Fractions 510/85,679/79,315/201 is 1038870

3 510, 679, 315
5 170, 679, 105
7 34, 679, 21
34, 97, 3

∴ So the LCM of the given numbers is 3 x 5 x 7 x 34 x 97 x 3 = 1038870

Least Common Multiple of 510,679,315 with GCF Formula

Least Common Multiple of 510,679,315 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 510,679,315 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(510,679,315) = 1

common factors(in case of two or more numbers have common factors) = 105

GCF(510,679,315) x common factors =1 x 105 = 105

LCM(510,679,315) = ( 510 × 679 × 315 ) / 105

LCM(510,679,315) = 109081350 / 105

LCM(510,679,315) = 1038870


Lets's calculate GCF of 85,79,201

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1038870/1

Therefore the LCM of Fractions 510/85,679/79,315/201 is 1038870

Greatest Common Factor of 85,79,201 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,79,201 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 201

List of positive integer factors of 201 that divides 201 without a remainder.

1,3,67,201

Greatest Common Factor

We found the factors 85,79,201 . The biggest common factor number is the GCF number.
So the greatest common factor 85,79,201 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 510/85, 679/79, 315/201

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 510/85, 679/79, 315/201?

Answer: LCM of Numerators as per given numbers 510/85, 679/79, 315/201 is

LCM of Numerators i.e. for 510,679,315 is 1038870

GCF of denominators i.e. for 85,79,201 is 1.

Thus, LCM of Fractions is 1038870.Finally, LCM of Fractions for 510/85, 679/79, 315/201 is 1038870.