Least Common Multiple of 533/42, 737/79, 107/496

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 533/42, 737/79, 107/496 quickly i.e. 42031847 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 533/42, 737/79, 107/496 is 42031847.

LCM(533/42, 737/79, 107/496) = 42031847

LCM of 533/42, 737/79, 107/496

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 533/42,737/79,107/496

Given numbers are 533/42,737/79,107/496

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 533,737,107

Least Common Multiple of Numerators i.e. LCM of 533,737,107 is 42031847.

GCF of Denominators means GCF of 42,79,496 as per the given fractions.

GCF of 42,79,496 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 533,737,107

LCM of Fractions 533/42,737/79,107/496 is 42031847

Given numbers has no common factors except 1. So, there LCM is their product i.e 42031847

Least Common Multiple of 533,737,107 with GCF Formula

Least Common Multiple of 533,737,107 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 533,737,107 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(533,737,107) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(533,737,107) x common factors =1 x 1 = 1

LCM(533,737,107) = ( 533 × 737 × 107 ) / 1

LCM(533,737,107) = 42031847 / 1

LCM(533,737,107) = 42031847


Lets's calculate GCF of 42,79,496

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42031847/1

Therefore the LCM of Fractions 533/42,737/79,107/496 is 42031847

Greatest Common Factor of 42,79,496 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,79,496 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 496

List of positive integer factors of 496 that divides 496 without a remainder.

1,2,4,8,16,31,62,124,248,496

Greatest Common Factor

We found the factors 42,79,496 . The biggest common factor number is the GCF number.
So the greatest common factor 42,79,496 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 533/42, 737/79, 107/496

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 533/42, 737/79, 107/496?

Answer: LCM of Numerators as per given numbers 533/42, 737/79, 107/496 is

LCM of Numerators i.e. for 533,737,107 is 42031847

GCF of denominators i.e. for 42,79,496 is 1.

Thus, LCM of Fractions is 42031847.Finally, LCM of Fractions for 533/42, 737/79, 107/496 is 42031847.