Least Common Multiple of 51/18, 506/23, 124/619

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/18, 506/23, 124/619 quickly i.e. 1599972 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/18, 506/23, 124/619 is 1599972.

LCM(51/18, 506/23, 124/619) = 1599972

LCM of 51/18, 506/23, 124/619

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 51/18,506/23,124/619

Given numbers are 51/18,506/23,124/619

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 51,506,124

Least Common Multiple of Numerators i.e. LCM of 51,506,124 is 1599972.

GCF of Denominators means GCF of 18,23,619 as per the given fractions.

GCF of 18,23,619 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,506,124

LCM of Fractions 51/18,506/23,124/619 is 1599972

2 51, 506, 124
51, 253, 62

∴ So the LCM of the given numbers is 2 x 51 x 253 x 62 = 1599972

Least Common Multiple of 51,506,124 with GCF Formula

Least Common Multiple of 51,506,124 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 51,506,124 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,506,124) = 1

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

GCF(51,506,124) x common factors =1 x 2 = 2

LCM(51,506,124) = ( 51 × 506 × 124 ) / 2

LCM(51,506,124) = 3199944 / 2

LCM(51,506,124) = 1599972


Lets's calculate GCF of 18,23,619

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1599972/1

Therefore the LCM of Fractions 51/18,506/23,124/619 is 1599972

Greatest Common Factor of 18,23,619 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,23,619 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 619

List of positive integer factors of 619 that divides 619 without a remainder.

1,619

Greatest Common Factor

We found the factors 18,23,619 . The biggest common factor number is the GCF number.
So the greatest common factor 18,23,619 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 51/18, 506/23, 124/619

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 51/18, 506/23, 124/619?

Answer: LCM of Numerators as per given numbers 51/18, 506/23, 124/619 is

LCM of Numerators i.e. for 51,506,124 is 1599972

GCF of denominators i.e. for 18,23,619 is 1.

Thus, LCM of Fractions is 1599972.Finally, LCM of Fractions for 51/18, 506/23, 124/619 is 1599972.