Least Common Multiple of 872/50, 875/9000

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 872/50, 875/9000 quickly i.e. 15260 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 872/50, 875/9000 is 15260.

LCM(872/50, 875/9000) = 15260

LCM of 872/50, 875/9000

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 872/50,875/9000

Given numbers are 872/50,875/9000

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 872,875

Least Common Multiple of Numerators i.e. LCM of 872,875 is 763000.

GCF of Denominators means GCF of 50,9000 as per the given fractions.

GCF of 50,9000 is 50 as it is the largest common factor for these numbers.

Lets's calculate LCM of 872,875

LCM of Fractions 872/50,875/9000 is 15260

Given numbers has no common factors except 1. So, there LCM is their product i.e 763000

Least Common Multiple of 872,875 with GCF Formula

Least Common Multiple of 872,875 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 872,875 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(872,875) = 1

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

GCF(872,875) x common factors =1 x 1 = 1

LCM(872,875) = ( 872 × 875 ) / 1

LCM(872,875) = 763000 / 1

LCM(872,875) = 763000


Lets's calculate GCF of 50,9000

2 50, 9000
5 25, 4500
5 5, 900
1, 180

∴ So the GCF of the given numbers is 2 x 5 x 5 = 50

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 763000/50

Therefore the LCM of Fractions 872/50,875/9000 is 15260

Greatest Common Factor of 50,9000 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,9000 By Matching Biggest Common Factor Method

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 9000

List of positive integer factors of 9000 that divides 9000 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,25,30,36,40,45,50,60,72,75,90,100,120,125,150,180,200,225,250,300,360,375,450,500,600,750,900,1000,1125,1500,1800,2250,3000,4500,9000

Greatest Common Factor

We found the factors 50,9000 . The biggest common factor number is the GCF number.
So the greatest common factor 50,9000 is 50.


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 872/50, 875/9000

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 872/50, 875/9000?

Answer: LCM of Numerators as per given numbers 872/50, 875/9000 is

LCM of Numerators i.e. for 872,875 is 763000

GCF of denominators i.e. for 50,9000 is 50.

Thus, LCM of Fractions is 15260.Finally, LCM of Fractions for 872/50, 875/9000 is 15260.