Least Common Multiple of 63/519, 357/85, 762/339

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 63/519, 357/85, 762/339 quickly i.e. 272034 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 63/519, 357/85, 762/339 is 272034.

LCM(63/519, 357/85, 762/339) = 272034

LCM of 63/519, 357/85, 762/339

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 63/519,357/85,762/339

Given numbers are 63/519,357/85,762/339

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 63,357,762

Least Common Multiple of Numerators i.e. LCM of 63,357,762 is 272034.

GCF of Denominators means GCF of 519,85,339 as per the given fractions.

GCF of 519,85,339 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 63,357,762

LCM of Fractions 63/519,357/85,762/339 is 272034

3 63, 357, 762
7 21, 119, 254
3, 17, 254

∴ So the LCM of the given numbers is 3 x 7 x 3 x 17 x 254 = 272034

Least Common Multiple of 63,357,762 with GCF Formula

Least Common Multiple of 63,357,762 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 63,357,762 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(63,357,762) = 3

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

GCF(63,357,762) x common factors =3 x 21 = 63

LCM(63,357,762) = ( 63 × 357 × 762 ) / 63

LCM(63,357,762) = 17138142 / 63

LCM(63,357,762) = 272034


Lets's calculate GCF of 519,85,339

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 272034/1

Therefore the LCM of Fractions 63/519,357/85,762/339 is 272034

Greatest Common Factor of 519,85,339 By Matching Biggest Common Factor Method

Greatest Common Factor of 519,85,339 By Matching Biggest Common Factor Method

Factors of 519

List of positive integer factors of 519 that divides 519 without a remainder.

1,3,173,519

Factors of 85

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

1,5,17,85

Factors of 339

List of positive integer factors of 339 that divides 339 without a remainder.

1,3,113,339

Greatest Common Factor

We found the factors 519,85,339 . The biggest common factor number is the GCF number.
So the greatest common factor 519,85,339 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 63/519, 357/85, 762/339

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 63/519, 357/85, 762/339?

Answer: LCM of Numerators as per given numbers 63/519, 357/85, 762/339 is

LCM of Numerators i.e. for 63,357,762 is 272034

GCF of denominators i.e. for 519,85,339 is 1.

Thus, LCM of Fractions is 272034.Finally, LCM of Fractions for 63/519, 357/85, 762/339 is 272034.