Least Common Multiple of 874/47, 943/2073

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 874/47, 943/2073 quickly i.e. 35834 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 874/47, 943/2073 is 35834.

LCM(874/47, 943/2073) = 35834

LCM of 874/47, 943/2073

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 874/47,943/2073

Given numbers are 874/47,943/2073

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 874,943

Least Common Multiple of Numerators i.e. LCM of 874,943 is 35834.

GCF of Denominators means GCF of 47,2073 as per the given fractions.

GCF of 47,2073 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 874,943

LCM of Fractions 874/47,943/2073 is 35834

23 874, 943
38, 41

∴ So the LCM of the given numbers is 23 x 38 x 41 = 35834

Least Common Multiple of 874,943 with GCF Formula

Least Common Multiple of 874,943 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 874,943 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(874,943) = 23

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

GCF(874,943) x common factors =23 x 1 = 23

LCM(874,943) = ( 874 × 943 ) / 23

LCM(874,943) = 824182 / 23

LCM(874,943) = 35834


Lets's calculate GCF of 47,2073

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35834/1

Therefore the LCM of Fractions 874/47,943/2073 is 35834

Greatest Common Factor of 47,2073 By Matching Biggest Common Factor Method

Greatest Common Factor of 47,2073 By Matching Biggest Common Factor Method

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 2073

List of positive integer factors of 2073 that divides 2073 without a remainder.

1,3,691,2073

Greatest Common Factor

We found the factors 47,2073 . The biggest common factor number is the GCF number.
So the greatest common factor 47,2073 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 874/47, 943/2073

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 874/47, 943/2073?

Answer: LCM of Numerators as per given numbers 874/47, 943/2073 is

LCM of Numerators i.e. for 874,943 is 35834

GCF of denominators i.e. for 47,2073 is 1.

Thus, LCM of Fractions is 35834.Finally, LCM of Fractions for 874/47, 943/2073 is 35834.