Least Common Multiple of 1502/705, 2291/705

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1502/705, 2291/705 quickly i.e. 3441082/705 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1502/705, 2291/705 is 3441082/705.

LCM(1502/705, 2291/705) = 3441082/705

LCM of 1502/705, 2291/705

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 1502/705,2291/705

Given numbers are 1502/705,2291/705

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 1502,2291

Least Common Multiple of Numerators i.e. LCM of 1502,2291 is 3441082.

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

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

Lets's calculate LCM of 1502,2291

LCM of Fractions 1502/705,2291/705 is 3441082/705

Given numbers has no common factors except 1. So, there LCM is their product i.e 3441082

Least Common Multiple of 1502,2291 with GCF Formula

Least Common Multiple of 1502,2291 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 1502,2291 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1502,2291) = 1

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

GCF(1502,2291) x common factors =1 x 1 = 1

LCM(1502,2291) = ( 1502 × 2291 ) / 1

LCM(1502,2291) = 3441082 / 1

LCM(1502,2291) = 3441082


Lets's calculate GCF of 705,705

3 705, 705
5 235, 235
47 47, 47
1, 1

∴ So the GCF of the given numbers is 3 x 5 x 47 = 705

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3441082/705

Therefore the LCM of Fractions 1502/705,2291/705 is 3441082/705

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

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

Factors of 705

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

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

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 705,705 . The biggest common factor number is the GCF number.
So the greatest common factor 705,705 is 705.


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 1502/705, 2291/705

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 1502/705, 2291/705?

Answer: LCM of Numerators as per given numbers 1502/705, 2291/705 is

LCM of Numerators i.e. for 1502,2291 is 3441082

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

Thus, LCM of Fractions is 3441082/705.Finally, LCM of Fractions for 1502/705, 2291/705 is 3441082/705.