Least Common Multiple of 376/165, 5000/583

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 376/165, 5000/583 quickly i.e. 235000/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 376/165, 5000/583 is 235000/11.

LCM(376/165, 5000/583) = 235000/11

LCM of 376/165, 5000/583

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 376/165,5000/583

Given numbers are 376/165,5000/583

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 376,5000

Least Common Multiple of Numerators i.e. LCM of 376,5000 is 235000.

GCF of Denominators means GCF of 165,583 as per the given fractions.

GCF of 165,583 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 376,5000

LCM of Fractions 376/165,5000/583 is 235000/11

2 376, 5000
2 188, 2500
2 94, 1250
47, 625

∴ So the LCM of the given numbers is 2 x 2 x 2 x 47 x 625 = 235000

Least Common Multiple of 376,5000 with GCF Formula

Least Common Multiple of 376,5000 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 376,5000 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(376,5000) = 8

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

GCF(376,5000) x common factors =8 x 1 = 8

LCM(376,5000) = ( 376 × 5000 ) / 8

LCM(376,5000) = 1880000 / 8

LCM(376,5000) = 235000


Lets's calculate GCF of 165,583

11 165, 583
15, 53

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 235000/11

Therefore the LCM of Fractions 376/165,5000/583 is 235000/11

Greatest Common Factor of 165,583 By Matching Biggest Common Factor Method

Greatest Common Factor of 165,583 By Matching Biggest Common Factor Method

Factors of 165

List of positive integer factors of 165 that divides 165 without a remainder.

1,3,5,11,15,33,55,165

Factors of 583

List of positive integer factors of 583 that divides 583 without a remainder.

1,11,53,583

Greatest Common Factor

We found the factors 165,583 . The biggest common factor number is the GCF number.
So the greatest common factor 165,583 is 11.


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 376/165, 5000/583

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 376/165, 5000/583?

Answer: LCM of Numerators as per given numbers 376/165, 5000/583 is

LCM of Numerators i.e. for 376,5000 is 235000

GCF of denominators i.e. for 165,583 is 11.

Thus, LCM of Fractions is 235000/11.Finally, LCM of Fractions for 376/165, 5000/583 is 235000/11.