Least Common Multiple of 874/501, 684/302, 143/809

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 874/501, 684/302, 143/809 quickly i.e. 2249676 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 874/501, 684/302, 143/809 is 2249676.

LCM(874/501, 684/302, 143/809) = 2249676

LCM of 874/501, 684/302, 143/809

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 874/501,684/302,143/809

Given numbers are 874/501,684/302,143/809

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 874,684,143

Least Common Multiple of Numerators i.e. LCM of 874,684,143 is 2249676.

GCF of Denominators means GCF of 501,302,809 as per the given fractions.

GCF of 501,302,809 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 874,684,143

LCM of Fractions 874/501,684/302,143/809 is 2249676

2 874, 684, 143
19 437, 342, 143
23, 18, 143

∴ So the LCM of the given numbers is 2 x 19 x 23 x 18 x 143 = 2249676

Least Common Multiple of 874,684,143 with GCF Formula

Least Common Multiple of 874,684,143 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 874,684,143 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(874,684,143) = 1

common factors(in case of two or more numbers have common factors) = 38

GCF(874,684,143) x common factors =1 x 38 = 38

LCM(874,684,143) = ( 874 × 684 × 143 ) / 38

LCM(874,684,143) = 85487688 / 38

LCM(874,684,143) = 2249676


Lets's calculate GCF of 501,302,809

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2249676/1

Therefore the LCM of Fractions 874/501,684/302,143/809 is 2249676

Greatest Common Factor of 501,302,809 By Matching Biggest Common Factor Method

Greatest Common Factor of 501,302,809 By Matching Biggest Common Factor Method

Factors of 501

List of positive integer factors of 501 that divides 501 without a remainder.

1,3,167,501

Factors of 302

List of positive integer factors of 302 that divides 302 without a remainder.

1,2,151,302

Factors of 809

List of positive integer factors of 809 that divides 809 without a remainder.

1,809

Greatest Common Factor

We found the factors 501,302,809 . The biggest common factor number is the GCF number.
So the greatest common factor 501,302,809 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 874/501, 684/302, 143/809

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 874/501, 684/302, 143/809?

Answer: LCM of Numerators as per given numbers 874/501, 684/302, 143/809 is

LCM of Numerators i.e. for 874,684,143 is 2249676

GCF of denominators i.e. for 501,302,809 is 1.

Thus, LCM of Fractions is 2249676.Finally, LCM of Fractions for 874/501, 684/302, 143/809 is 2249676.