Least Common Multiple of 1509/875, 2605/250

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1509/875, 2605/250 quickly i.e. 3930945/125 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1509/875, 2605/250 is 3930945/125.

LCM(1509/875, 2605/250) = 3930945/125

LCM of 1509/875, 2605/250

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 1509/875,2605/250

Given numbers are 1509/875,2605/250

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 1509,2605

Least Common Multiple of Numerators i.e. LCM of 1509,2605 is 3930945.

GCF of Denominators means GCF of 875,250 as per the given fractions.

GCF of 875,250 is 125 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1509,2605

LCM of Fractions 1509/875,2605/250 is 3930945/125

Given numbers has no common factors except 1. So, there LCM is their product i.e 3930945

Least Common Multiple of 1509,2605 with GCF Formula

Least Common Multiple of 1509,2605 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 1509,2605 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1509,2605) = 1

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

GCF(1509,2605) x common factors =1 x 1 = 1

LCM(1509,2605) = ( 1509 × 2605 ) / 1

LCM(1509,2605) = 3930945 / 1

LCM(1509,2605) = 3930945


Lets's calculate GCF of 875,250

5 875, 250
5 175, 50
5 35, 10
7, 2

∴ So the GCF of the given numbers is 5 x 5 x 5 = 125

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3930945/125

Therefore the LCM of Fractions 1509/875,2605/250 is 3930945/125

Greatest Common Factor of 875,250 By Matching Biggest Common Factor Method

Greatest Common Factor of 875,250 By Matching Biggest Common Factor Method

Factors of 875

List of positive integer factors of 875 that divides 875 without a remainder.

1,5,7,25,35,125,175,875

Factors of 250

List of positive integer factors of 250 that divides 250 without a remainder.

1,2,5,10,25,50,125,250

Greatest Common Factor

We found the factors 875,250 . The biggest common factor number is the GCF number.
So the greatest common factor 875,250 is 125.


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 1509/875, 2605/250

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 1509/875, 2605/250?

Answer: LCM of Numerators as per given numbers 1509/875, 2605/250 is

LCM of Numerators i.e. for 1509,2605 is 3930945

GCF of denominators i.e. for 875,250 is 125.

Thus, LCM of Fractions is 3930945/125.Finally, LCM of Fractions for 1509/875, 2605/250 is 3930945/125.