Least Common Multiple of 502/143, 1632/715

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 502/143, 1632/715 quickly i.e. 409632/143 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 502/143, 1632/715 is 409632/143.

LCM(502/143, 1632/715) = 409632/143

LCM of 502/143, 1632/715

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 502/143,1632/715

Given numbers are 502/143,1632/715

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 502,1632

Least Common Multiple of Numerators i.e. LCM of 502,1632 is 409632.

GCF of Denominators means GCF of 143,715 as per the given fractions.

GCF of 143,715 is 143 as it is the largest common factor for these numbers.

Lets's calculate LCM of 502,1632

LCM of Fractions 502/143,1632/715 is 409632/143

2 502, 1632
251, 816

∴ So the LCM of the given numbers is 2 x 251 x 816 = 409632

Least Common Multiple of 502,1632 with GCF Formula

Least Common Multiple of 502,1632 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 502,1632 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(502,1632) = 2

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

GCF(502,1632) x common factors =2 x 1 = 2

LCM(502,1632) = ( 502 × 1632 ) / 2

LCM(502,1632) = 819264 / 2

LCM(502,1632) = 409632


Lets's calculate GCF of 143,715

11 143, 715
13 13, 65
1, 5

∴ So the GCF of the given numbers is 11 x 13 = 143

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 409632/143

Therefore the LCM of Fractions 502/143,1632/715 is 409632/143

Greatest Common Factor of 143,715 By Matching Biggest Common Factor Method

Greatest Common Factor of 143,715 By Matching Biggest Common Factor Method

Factors of 143

List of positive integer factors of 143 that divides 143 without a remainder.

1,11,13,143

Factors of 715

List of positive integer factors of 715 that divides 715 without a remainder.

1,5,11,13,55,65,143,715

Greatest Common Factor

We found the factors 143,715 . The biggest common factor number is the GCF number.
So the greatest common factor 143,715 is 143.


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 502/143, 1632/715

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 502/143, 1632/715?

Answer: LCM of Numerators as per given numbers 502/143, 1632/715 is

LCM of Numerators i.e. for 502,1632 is 409632

GCF of denominators i.e. for 143,715 is 143.

Thus, LCM of Fractions is 409632/143.Finally, LCM of Fractions for 502/143, 1632/715 is 409632/143.