Least Common Multiple of 94/507, 336/461, 714/563

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 94/507, 336/461, 714/563 quickly i.e. 268464 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 94/507, 336/461, 714/563 is 268464.

LCM(94/507, 336/461, 714/563) = 268464

LCM of 94/507, 336/461, 714/563

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 94/507,336/461,714/563

Given numbers are 94/507,336/461,714/563

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 94,336,714

Least Common Multiple of Numerators i.e. LCM of 94,336,714 is 268464.

GCF of Denominators means GCF of 507,461,563 as per the given fractions.

GCF of 507,461,563 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 94,336,714

LCM of Fractions 94/507,336/461,714/563 is 268464

2 94, 336, 714
3 47, 168, 357
7 47, 56, 119
47, 8, 17

∴ So the LCM of the given numbers is 2 x 3 x 7 x 47 x 8 x 17 = 268464

Least Common Multiple of 94,336,714 with GCF Formula

Least Common Multiple of 94,336,714 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 94,336,714 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,336,714) = 2

common factors(in case of two or more numbers have common factors) = 42

GCF(94,336,714) x common factors =2 x 42 = 84

LCM(94,336,714) = ( 94 × 336 × 714 ) / 84

LCM(94,336,714) = 22550976 / 84

LCM(94,336,714) = 268464


Lets's calculate GCF of 507,461,563

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 268464/1

Therefore the LCM of Fractions 94/507,336/461,714/563 is 268464

Greatest Common Factor of 507,461,563 By Matching Biggest Common Factor Method

Greatest Common Factor of 507,461,563 By Matching Biggest Common Factor Method

Factors of 507

List of positive integer factors of 507 that divides 507 without a remainder.

1,3,13,39,169,507

Factors of 461

List of positive integer factors of 461 that divides 461 without a remainder.

1,461

Factors of 563

List of positive integer factors of 563 that divides 563 without a remainder.

1,563

Greatest Common Factor

We found the factors 507,461,563 . The biggest common factor number is the GCF number.
So the greatest common factor 507,461,563 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 94/507, 336/461, 714/563

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 94/507, 336/461, 714/563?

Answer: LCM of Numerators as per given numbers 94/507, 336/461, 714/563 is

LCM of Numerators i.e. for 94,336,714 is 268464

GCF of denominators i.e. for 507,461,563 is 1.

Thus, LCM of Fractions is 268464.Finally, LCM of Fractions for 94/507, 336/461, 714/563 is 268464.