Least Common Multiple of 42/509, 51/516, 623/591

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/509, 51/516, 623/591 quickly i.e. 63546 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/509, 51/516, 623/591 is 63546.

LCM(42/509, 51/516, 623/591) = 63546

LCM of 42/509, 51/516, 623/591

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 42/509,51/516,623/591

Given numbers are 42/509,51/516,623/591

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 42,51,623

Least Common Multiple of Numerators i.e. LCM of 42,51,623 is 63546.

GCF of Denominators means GCF of 509,516,591 as per the given fractions.

GCF of 509,516,591 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,51,623

LCM of Fractions 42/509,51/516,623/591 is 63546

3 42, 51, 623
7 14, 17, 623
2, 17, 89

∴ So the LCM of the given numbers is 3 x 7 x 2 x 17 x 89 = 63546

Least Common Multiple of 42,51,623 with GCF Formula

Least Common Multiple of 42,51,623 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 42,51,623 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,51,623) = 1

common factors(in case of two or more numbers have common factors) = 21

GCF(42,51,623) x common factors =1 x 21 = 21

LCM(42,51,623) = ( 42 × 51 × 623 ) / 21

LCM(42,51,623) = 1334466 / 21

LCM(42,51,623) = 63546


Lets's calculate GCF of 509,516,591

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 63546/1

Therefore the LCM of Fractions 42/509,51/516,623/591 is 63546

Greatest Common Factor of 509,516,591 By Matching Biggest Common Factor Method

Greatest Common Factor of 509,516,591 By Matching Biggest Common Factor Method

Factors of 509

List of positive integer factors of 509 that divides 509 without a remainder.

1,509

Factors of 516

List of positive integer factors of 516 that divides 516 without a remainder.

1,2,3,4,6,12,43,86,129,172,258,516

Factors of 591

List of positive integer factors of 591 that divides 591 without a remainder.

1,3,197,591

Greatest Common Factor

We found the factors 509,516,591 . The biggest common factor number is the GCF number.
So the greatest common factor 509,516,591 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 42/509, 51/516, 623/591

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 42/509, 51/516, 623/591?

Answer: LCM of Numerators as per given numbers 42/509, 51/516, 623/591 is

LCM of Numerators i.e. for 42,51,623 is 63546

GCF of denominators i.e. for 509,516,591 is 1.

Thus, LCM of Fractions is 63546.Finally, LCM of Fractions for 42/509, 51/516, 623/591 is 63546.