Least Common Multiple of 515/753, 462/308, 538/667

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 515/753, 462/308, 538/667 quickly i.e. 64003170 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 515/753, 462/308, 538/667 is 64003170.

LCM(515/753, 462/308, 538/667) = 64003170

LCM of 515/753, 462/308, 538/667

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 515/753,462/308,538/667

Given numbers are 515/753,462/308,538/667

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 515,462,538

Least Common Multiple of Numerators i.e. LCM of 515,462,538 is 64003170.

GCF of Denominators means GCF of 753,308,667 as per the given fractions.

GCF of 753,308,667 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 515,462,538

LCM of Fractions 515/753,462/308,538/667 is 64003170

2 515, 462, 538
515, 231, 269

∴ So the LCM of the given numbers is 2 x 515 x 231 x 269 = 64003170

Least Common Multiple of 515,462,538 with GCF Formula

Least Common Multiple of 515,462,538 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 515,462,538 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(515,462,538) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(515,462,538) x common factors =1 x 2 = 2

LCM(515,462,538) = ( 515 × 462 × 538 ) / 2

LCM(515,462,538) = 128006340 / 2

LCM(515,462,538) = 64003170


Lets's calculate GCF of 753,308,667

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 64003170/1

Therefore the LCM of Fractions 515/753,462/308,538/667 is 64003170

Greatest Common Factor of 753,308,667 By Matching Biggest Common Factor Method

Greatest Common Factor of 753,308,667 By Matching Biggest Common Factor Method

Factors of 753

List of positive integer factors of 753 that divides 753 without a remainder.

1,3,251,753

Factors of 308

List of positive integer factors of 308 that divides 308 without a remainder.

1,2,4,7,11,14,22,28,44,77,154,308

Factors of 667

List of positive integer factors of 667 that divides 667 without a remainder.

1,23,29,667

Greatest Common Factor

We found the factors 753,308,667 . The biggest common factor number is the GCF number.
So the greatest common factor 753,308,667 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 515/753, 462/308, 538/667

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 515/753, 462/308, 538/667?

Answer: LCM of Numerators as per given numbers 515/753, 462/308, 538/667 is

LCM of Numerators i.e. for 515,462,538 is 64003170

GCF of denominators i.e. for 753,308,667 is 1.

Thus, LCM of Fractions is 64003170.Finally, LCM of Fractions for 515/753, 462/308, 538/667 is 64003170.