Least Common Multiple of 76/59, 35/423, 624/493

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/59, 35/423, 624/493 quickly i.e. 414960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/59, 35/423, 624/493 is 414960.

LCM(76/59, 35/423, 624/493) = 414960

LCM of 76/59, 35/423, 624/493

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 76/59,35/423,624/493

Given numbers are 76/59,35/423,624/493

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 76,35,624

Least Common Multiple of Numerators i.e. LCM of 76,35,624 is 414960.

GCF of Denominators means GCF of 59,423,493 as per the given fractions.

GCF of 59,423,493 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,35,624

LCM of Fractions 76/59,35/423,624/493 is 414960

2 76, 35, 624
2 38, 35, 312
19, 35, 156

∴ So the LCM of the given numbers is 2 x 2 x 19 x 35 x 156 = 414960

Least Common Multiple of 76,35,624 with GCF Formula

Least Common Multiple of 76,35,624 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 76,35,624 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,35,624) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(76,35,624) x common factors =1 x 4 = 4

LCM(76,35,624) = ( 76 × 35 × 624 ) / 4

LCM(76,35,624) = 1659840 / 4

LCM(76,35,624) = 414960


Lets's calculate GCF of 59,423,493

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 414960/1

Therefore the LCM of Fractions 76/59,35/423,624/493 is 414960

Greatest Common Factor of 59,423,493 By Matching Biggest Common Factor Method

Greatest Common Factor of 59,423,493 By Matching Biggest Common Factor Method

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 423

List of positive integer factors of 423 that divides 423 without a remainder.

1,3,9,47,141,423

Factors of 493

List of positive integer factors of 493 that divides 493 without a remainder.

1,17,29,493

Greatest Common Factor

We found the factors 59,423,493 . The biggest common factor number is the GCF number.
So the greatest common factor 59,423,493 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 76/59, 35/423, 624/493

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 76/59, 35/423, 624/493?

Answer: LCM of Numerators as per given numbers 76/59, 35/423, 624/493 is

LCM of Numerators i.e. for 76,35,624 is 414960

GCF of denominators i.e. for 59,423,493 is 1.

Thus, LCM of Fractions is 414960.Finally, LCM of Fractions for 76/59, 35/423, 624/493 is 414960.