Least Common Multiple of 63/418, 68/852, 182/584

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 63/418, 68/852, 182/584 quickly i.e. 27846 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 63/418, 68/852, 182/584 is 27846.

LCM(63/418, 68/852, 182/584) = 27846

LCM of 63/418, 68/852, 182/584

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 63/418,68/852,182/584

Given numbers are 63/418,68/852,182/584

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 63,68,182

Least Common Multiple of Numerators i.e. LCM of 63,68,182 is 55692.

GCF of Denominators means GCF of 418,852,584 as per the given fractions.

GCF of 418,852,584 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 63,68,182

LCM of Fractions 63/418,68/852,182/584 is 27846

2 63, 68, 182
7 63, 34, 91
9, 34, 13

∴ So the LCM of the given numbers is 2 x 7 x 9 x 34 x 13 = 55692

Least Common Multiple of 63,68,182 with GCF Formula

Least Common Multiple of 63,68,182 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 63,68,182 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(63,68,182) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(63,68,182) x common factors =1 x 14 = 14

LCM(63,68,182) = ( 63 × 68 × 182 ) / 14

LCM(63,68,182) = 779688 / 14

LCM(63,68,182) = 55692


Lets's calculate GCF of 418,852,584

2 418, 852, 584
209, 426, 292

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 55692/2

Therefore the LCM of Fractions 63/418,68/852,182/584 is 27846

Greatest Common Factor of 418,852,584 By Matching Biggest Common Factor Method

Greatest Common Factor of 418,852,584 By Matching Biggest Common Factor Method

Factors of 418

List of positive integer factors of 418 that divides 418 without a remainder.

1,2,11,19,22,38,209,418

Factors of 852

List of positive integer factors of 852 that divides 852 without a remainder.

1,2,3,4,6,12,71,142,213,284,426,852

Factors of 584

List of positive integer factors of 584 that divides 584 without a remainder.

1,2,4,8,73,146,292,584

Greatest Common Factor

We found the factors 418,852,584 . The biggest common factor number is the GCF number.
So the greatest common factor 418,852,584 is 2.


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 63/418, 68/852, 182/584

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 63/418, 68/852, 182/584?

Answer: LCM of Numerators as per given numbers 63/418, 68/852, 182/584 is

LCM of Numerators i.e. for 63,68,182 is 55692

GCF of denominators i.e. for 418,852,584 is 2.

Thus, LCM of Fractions is 27846.Finally, LCM of Fractions for 63/418, 68/852, 182/584 is 27846.