Least Common Multiple of 3670/225, 2539/705

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3670/225, 2539/705 quickly i.e. 9318130/15 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3670/225, 2539/705 is 9318130/15.

LCM(3670/225, 2539/705) = 9318130/15

LCM of 3670/225, 2539/705

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 3670/225,2539/705

Given numbers are 3670/225,2539/705

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 3670,2539

Least Common Multiple of Numerators i.e. LCM of 3670,2539 is 9318130.

GCF of Denominators means GCF of 225,705 as per the given fractions.

GCF of 225,705 is 15 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3670,2539

LCM of Fractions 3670/225,2539/705 is 9318130/15

Given numbers has no common factors except 1. So, there LCM is their product i.e 9318130

Least Common Multiple of 3670,2539 with GCF Formula

Least Common Multiple of 3670,2539 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 3670,2539 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3670,2539) = 1

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

GCF(3670,2539) x common factors =1 x 1 = 1

LCM(3670,2539) = ( 3670 × 2539 ) / 1

LCM(3670,2539) = 9318130 / 1

LCM(3670,2539) = 9318130


Lets's calculate GCF of 225,705

3 225, 705
5 75, 235
15, 47

∴ So the GCF of the given numbers is 3 x 5 = 15

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9318130/15

Therefore the LCM of Fractions 3670/225,2539/705 is 9318130/15

Greatest Common Factor of 225,705 By Matching Biggest Common Factor Method

Greatest Common Factor of 225,705 By Matching Biggest Common Factor Method

Factors of 225

List of positive integer factors of 225 that divides 225 without a remainder.

1,3,5,9,15,25,45,75,225

Factors of 705

List of positive integer factors of 705 that divides 705 without a remainder.

1,3,5,15,47,141,235,705

Greatest Common Factor

We found the factors 225,705 . The biggest common factor number is the GCF number.
So the greatest common factor 225,705 is 15.


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 3670/225, 2539/705

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 3670/225, 2539/705?

Answer: LCM of Numerators as per given numbers 3670/225, 2539/705 is

LCM of Numerators i.e. for 3670,2539 is 9318130

GCF of denominators i.e. for 225,705 is 15.

Thus, LCM of Fractions is 9318130/15.Finally, LCM of Fractions for 3670/225, 2539/705 is 9318130/15.