Least Common Multiple of 83/15, 562/24, 618/654

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/15, 562/24, 618/654 quickly i.e. 4804538 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/15, 562/24, 618/654 is 4804538.

LCM(83/15, 562/24, 618/654) = 4804538

LCM of 83/15, 562/24, 618/654

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 83/15,562/24,618/654

Given numbers are 83/15,562/24,618/654

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 83,562,618

Least Common Multiple of Numerators i.e. LCM of 83,562,618 is 14413614.

GCF of Denominators means GCF of 15,24,654 as per the given fractions.

GCF of 15,24,654 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,562,618

LCM of Fractions 83/15,562/24,618/654 is 4804538

2 83, 562, 618
83, 281, 309

∴ So the LCM of the given numbers is 2 x 83 x 281 x 309 = 14413614

Least Common Multiple of 83,562,618 with GCF Formula

Least Common Multiple of 83,562,618 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 83,562,618 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,562,618) = 1

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

GCF(83,562,618) x common factors =1 x 2 = 2

LCM(83,562,618) = ( 83 × 562 × 618 ) / 2

LCM(83,562,618) = 28827228 / 2

LCM(83,562,618) = 14413614


Lets's calculate GCF of 15,24,654

3 15, 24, 654
5, 8, 218

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14413614/3

Therefore the LCM of Fractions 83/15,562/24,618/654 is 4804538

Greatest Common Factor of 15,24,654 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,24,654 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 654

List of positive integer factors of 654 that divides 654 without a remainder.

1,2,3,6,109,218,327,654

Greatest Common Factor

We found the factors 15,24,654 . The biggest common factor number is the GCF number.
So the greatest common factor 15,24,654 is 3.


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 83/15, 562/24, 618/654

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 83/15, 562/24, 618/654?

Answer: LCM of Numerators as per given numbers 83/15, 562/24, 618/654 is

LCM of Numerators i.e. for 83,562,618 is 14413614

GCF of denominators i.e. for 15,24,654 is 3.

Thus, LCM of Fractions is 4804538.Finally, LCM of Fractions for 83/15, 562/24, 618/654 is 4804538.