Least Common Multiple of 36/499, 588/734, 672/637

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/499, 588/734, 672/637 quickly i.e. 14112 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/499, 588/734, 672/637 is 14112.

LCM(36/499, 588/734, 672/637) = 14112

LCM of 36/499, 588/734, 672/637

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 36/499,588/734,672/637

Given numbers are 36/499,588/734,672/637

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 36,588,672

Least Common Multiple of Numerators i.e. LCM of 36,588,672 is 14112.

GCF of Denominators means GCF of 499,734,637 as per the given fractions.

GCF of 499,734,637 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,588,672

LCM of Fractions 36/499,588/734,672/637 is 14112

2 36, 588, 672
2 18, 294, 336
3 9, 147, 168
7 3, 49, 56
3, 7, 8

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 3 x 7 x 8 = 14112

Least Common Multiple of 36,588,672 with GCF Formula

Least Common Multiple of 36,588,672 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 36,588,672 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,588,672) = 12

common factors(in case of two or more numbers have common factors) = 84

GCF(36,588,672) x common factors =12 x 84 = 1008

LCM(36,588,672) = ( 36 × 588 × 672 ) / 1008

LCM(36,588,672) = 14224896 / 1008

LCM(36,588,672) = 14112


Lets's calculate GCF of 499,734,637

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14112/1

Therefore the LCM of Fractions 36/499,588/734,672/637 is 14112

Greatest Common Factor of 499,734,637 By Matching Biggest Common Factor Method

Greatest Common Factor of 499,734,637 By Matching Biggest Common Factor Method

Factors of 499

List of positive integer factors of 499 that divides 499 without a remainder.

1,499

Factors of 734

List of positive integer factors of 734 that divides 734 without a remainder.

1,2,367,734

Factors of 637

List of positive integer factors of 637 that divides 637 without a remainder.

1,7,13,49,91,637

Greatest Common Factor

We found the factors 499,734,637 . The biggest common factor number is the GCF number.
So the greatest common factor 499,734,637 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 36/499, 588/734, 672/637

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 36/499, 588/734, 672/637?

Answer: LCM of Numerators as per given numbers 36/499, 588/734, 672/637 is

LCM of Numerators i.e. for 36,588,672 is 14112

GCF of denominators i.e. for 499,734,637 is 1.

Thus, LCM of Fractions is 14112.Finally, LCM of Fractions for 36/499, 588/734, 672/637 is 14112.