Least Common Multiple of 3940/302, 8710/260

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3940/302, 8710/260 quickly i.e. 1715870 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3940/302, 8710/260 is 1715870.

LCM(3940/302, 8710/260) = 1715870

LCM of 3940/302, 8710/260

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 3940/302,8710/260

Given numbers are 3940/302,8710/260

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 3940,8710

Least Common Multiple of Numerators i.e. LCM of 3940,8710 is 3431740.

GCF of Denominators means GCF of 302,260 as per the given fractions.

GCF of 302,260 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3940,8710

LCM of Fractions 3940/302,8710/260 is 1715870

2 3940, 8710
5 1970, 4355
394, 871

∴ So the LCM of the given numbers is 2 x 5 x 394 x 871 = 3431740

Least Common Multiple of 3940,8710 with GCF Formula

Least Common Multiple of 3940,8710 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 3940,8710 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3940,8710) = 10

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

GCF(3940,8710) x common factors =10 x 1 = 10

LCM(3940,8710) = ( 3940 × 8710 ) / 10

LCM(3940,8710) = 34317400 / 10

LCM(3940,8710) = 3431740


Lets's calculate GCF of 302,260

2 302, 260
151, 130

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3431740/2

Therefore the LCM of Fractions 3940/302,8710/260 is 1715870

Greatest Common Factor of 302,260 By Matching Biggest Common Factor Method

Greatest Common Factor of 302,260 By Matching Biggest Common Factor Method

Factors of 302

List of positive integer factors of 302 that divides 302 without a remainder.

1,2,151,302

Factors of 260

List of positive integer factors of 260 that divides 260 without a remainder.

1,2,4,5,10,13,20,26,52,65,130,260

Greatest Common Factor

We found the factors 302,260 . The biggest common factor number is the GCF number.
So the greatest common factor 302,260 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 3940/302, 8710/260

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 3940/302, 8710/260?

Answer: LCM of Numerators as per given numbers 3940/302, 8710/260 is

LCM of Numerators i.e. for 3940,8710 is 3431740

GCF of denominators i.e. for 302,260 is 2.

Thus, LCM of Fractions is 1715870.Finally, LCM of Fractions for 3940/302, 8710/260 is 1715870.