Least Common Multiple of 80/600, 5076/2174

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 80/600, 5076/2174 quickly i.e. 50760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 80/600, 5076/2174 is 50760.

LCM(80/600, 5076/2174) = 50760

LCM of 80/600, 5076/2174

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 80/600,5076/2174

Given numbers are 80/600,5076/2174

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 80,5076

Least Common Multiple of Numerators i.e. LCM of 80,5076 is 101520.

GCF of Denominators means GCF of 600,2174 as per the given fractions.

GCF of 600,2174 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 80,5076

LCM of Fractions 80/600,5076/2174 is 50760

2 80, 5076
2 40, 2538
20, 1269

∴ So the LCM of the given numbers is 2 x 2 x 20 x 1269 = 101520

Least Common Multiple of 80,5076 with GCF Formula

Least Common Multiple of 80,5076 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 80,5076 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,5076) = 4

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

GCF(80,5076) x common factors =4 x 1 = 4

LCM(80,5076) = ( 80 × 5076 ) / 4

LCM(80,5076) = 406080 / 4

LCM(80,5076) = 101520


Lets's calculate GCF of 600,2174

2 600, 2174
300, 1087

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 101520/2

Therefore the LCM of Fractions 80/600,5076/2174 is 50760

Greatest Common Factor of 600,2174 By Matching Biggest Common Factor Method

Greatest Common Factor of 600,2174 By Matching Biggest Common Factor Method

Factors of 600

List of positive integer factors of 600 that divides 600 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600

Factors of 2174

List of positive integer factors of 2174 that divides 2174 without a remainder.

1,2,1087,2174

Greatest Common Factor

We found the factors 600,2174 . The biggest common factor number is the GCF number.
So the greatest common factor 600,2174 is 2.


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 80/600, 5076/2174

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 80/600, 5076/2174?

Answer: LCM of Numerators as per given numbers 80/600, 5076/2174 is

LCM of Numerators i.e. for 80,5076 is 101520

GCF of denominators i.e. for 600,2174 is 2.

Thus, LCM of Fractions is 50760.Finally, LCM of Fractions for 80/600, 5076/2174 is 50760.