Least Common Multiple of 62/617, 21/744, 501/499

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 62/617, 21/744, 501/499 quickly i.e. 217434 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 62/617, 21/744, 501/499 is 217434.

LCM(62/617, 21/744, 501/499) = 217434

LCM of 62/617, 21/744, 501/499

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 62/617,21/744,501/499

Given numbers are 62/617,21/744,501/499

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 62,21,501

Least Common Multiple of Numerators i.e. LCM of 62,21,501 is 217434.

GCF of Denominators means GCF of 617,744,499 as per the given fractions.

GCF of 617,744,499 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 62,21,501

LCM of Fractions 62/617,21/744,501/499 is 217434

3 62, 21, 501
62, 7, 167

∴ So the LCM of the given numbers is 3 x 62 x 7 x 167 = 217434

Least Common Multiple of 62,21,501 with GCF Formula

Least Common Multiple of 62,21,501 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 62,21,501 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,21,501) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(62,21,501) x common factors =1 x 3 = 3

LCM(62,21,501) = ( 62 × 21 × 501 ) / 3

LCM(62,21,501) = 652302 / 3

LCM(62,21,501) = 217434


Lets's calculate GCF of 617,744,499

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 217434/1

Therefore the LCM of Fractions 62/617,21/744,501/499 is 217434

Greatest Common Factor of 617,744,499 By Matching Biggest Common Factor Method

Greatest Common Factor of 617,744,499 By Matching Biggest Common Factor Method

Factors of 617

List of positive integer factors of 617 that divides 617 without a remainder.

1,617

Factors of 744

List of positive integer factors of 744 that divides 744 without a remainder.

1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744

Factors of 499

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

1,499

Greatest Common Factor

We found the factors 617,744,499 . The biggest common factor number is the GCF number.
So the greatest common factor 617,744,499 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 62/617, 21/744, 501/499

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 62/617, 21/744, 501/499?

Answer: LCM of Numerators as per given numbers 62/617, 21/744, 501/499 is

LCM of Numerators i.e. for 62,21,501 is 217434

GCF of denominators i.e. for 617,744,499 is 1.

Thus, LCM of Fractions is 217434.Finally, LCM of Fractions for 62/617, 21/744, 501/499 is 217434.