Least Common Multiple of 618/63, 689/36, 512/430

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 618/63, 689/36, 512/430 quickly i.e. 109005312 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 618/63, 689/36, 512/430 is 109005312.

LCM(618/63, 689/36, 512/430) = 109005312

LCM of 618/63, 689/36, 512/430

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 618/63,689/36,512/430

Given numbers are 618/63,689/36,512/430

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 618,689,512

Least Common Multiple of Numerators i.e. LCM of 618,689,512 is 109005312.

GCF of Denominators means GCF of 63,36,430 as per the given fractions.

GCF of 63,36,430 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 618,689,512

LCM of Fractions 618/63,689/36,512/430 is 109005312

2 618, 689, 512
309, 689, 256

∴ So the LCM of the given numbers is 2 x 309 x 689 x 256 = 109005312

Least Common Multiple of 618,689,512 with GCF Formula

Least Common Multiple of 618,689,512 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 618,689,512 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(618,689,512) = 1

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

GCF(618,689,512) x common factors =1 x 2 = 2

LCM(618,689,512) = ( 618 × 689 × 512 ) / 2

LCM(618,689,512) = 218010624 / 2

LCM(618,689,512) = 109005312


Lets's calculate GCF of 63,36,430

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 109005312/1

Therefore the LCM of Fractions 618/63,689/36,512/430 is 109005312

Greatest Common Factor of 63,36,430 By Matching Biggest Common Factor Method

Greatest Common Factor of 63,36,430 By Matching Biggest Common Factor Method

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 430

List of positive integer factors of 430 that divides 430 without a remainder.

1,2,5,10,43,86,215,430

Greatest Common Factor

We found the factors 63,36,430 . The biggest common factor number is the GCF number.
So the greatest common factor 63,36,430 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 618/63, 689/36, 512/430

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 618/63, 689/36, 512/430?

Answer: LCM of Numerators as per given numbers 618/63, 689/36, 512/430 is

LCM of Numerators i.e. for 618,689,512 is 109005312

GCF of denominators i.e. for 63,36,430 is 1.

Thus, LCM of Fractions is 109005312.Finally, LCM of Fractions for 618/63, 689/36, 512/430 is 109005312.