Least Common Multiple of 8347/260, 3424/1576

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8347/260, 3424/1576 quickly i.e. 7145032 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8347/260, 3424/1576 is 7145032.

LCM(8347/260, 3424/1576) = 7145032

LCM of 8347/260, 3424/1576

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 8347/260,3424/1576

Given numbers are 8347/260,3424/1576

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 8347,3424

Least Common Multiple of Numerators i.e. LCM of 8347,3424 is 28580128.

GCF of Denominators means GCF of 260,1576 as per the given fractions.

GCF of 260,1576 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8347,3424

LCM of Fractions 8347/260,3424/1576 is 7145032

Given numbers has no common factors except 1. So, there LCM is their product i.e 28580128

Least Common Multiple of 8347,3424 with GCF Formula

Least Common Multiple of 8347,3424 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 8347,3424 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8347,3424) = 1

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

GCF(8347,3424) x common factors =1 x 1 = 1

LCM(8347,3424) = ( 8347 × 3424 ) / 1

LCM(8347,3424) = 28580128 / 1

LCM(8347,3424) = 28580128


Lets's calculate GCF of 260,1576

2 260, 1576
2 130, 788
65, 394

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28580128/4

Therefore the LCM of Fractions 8347/260,3424/1576 is 7145032

Greatest Common Factor of 260,1576 By Matching Biggest Common Factor Method

Greatest Common Factor of 260,1576 By Matching Biggest Common Factor Method

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

Factors of 1576

List of positive integer factors of 1576 that divides 1576 without a remainder.

1,2,4,8,197,394,788,1576

Greatest Common Factor

We found the factors 260,1576 . The biggest common factor number is the GCF number.
So the greatest common factor 260,1576 is 4.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 8347/260, 3424/1576

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 8347/260, 3424/1576?

Answer: LCM of Numerators as per given numbers 8347/260, 3424/1576 is

LCM of Numerators i.e. for 8347,3424 is 28580128

GCF of denominators i.e. for 260,1576 is 4.

Thus, LCM of Fractions is 7145032.Finally, LCM of Fractions for 8347/260, 3424/1576 is 7145032.