Least Common Multiple of 3308/82, 7144/760

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3308/82, 7144/760 quickly i.e. 2954044 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3308/82, 7144/760 is 2954044.

LCM(3308/82, 7144/760) = 2954044

LCM of 3308/82, 7144/760

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 3308/82,7144/760

Given numbers are 3308/82,7144/760

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 3308,7144

Least Common Multiple of Numerators i.e. LCM of 3308,7144 is 5908088.

GCF of Denominators means GCF of 82,760 as per the given fractions.

GCF of 82,760 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3308,7144

LCM of Fractions 3308/82,7144/760 is 2954044

2 3308, 7144
2 1654, 3572
827, 1786

∴ So the LCM of the given numbers is 2 x 2 x 827 x 1786 = 5908088

Least Common Multiple of 3308,7144 with GCF Formula

Least Common Multiple of 3308,7144 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 3308,7144 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3308,7144) = 4

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

GCF(3308,7144) x common factors =4 x 1 = 4

LCM(3308,7144) = ( 3308 × 7144 ) / 4

LCM(3308,7144) = 23632352 / 4

LCM(3308,7144) = 5908088


Lets's calculate GCF of 82,760

2 82, 760
41, 380

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5908088/2

Therefore the LCM of Fractions 3308/82,7144/760 is 2954044

Greatest Common Factor of 82,760 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,760 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 760

List of positive integer factors of 760 that divides 760 without a remainder.

1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760

Greatest Common Factor

We found the factors 82,760 . The biggest common factor number is the GCF number.
So the greatest common factor 82,760 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 3308/82, 7144/760

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 3308/82, 7144/760?

Answer: LCM of Numerators as per given numbers 3308/82, 7144/760 is

LCM of Numerators i.e. for 3308,7144 is 5908088

GCF of denominators i.e. for 82,760 is 2.

Thus, LCM of Fractions is 2954044.Finally, LCM of Fractions for 3308/82, 7144/760 is 2954044.