Least Common Multiple of 3376/450, 8371/716

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3376/450, 8371/716 quickly i.e. 14130248 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3376/450, 8371/716 is 14130248.

LCM(3376/450, 8371/716) = 14130248

LCM of 3376/450, 8371/716

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 3376/450,8371/716

Given numbers are 3376/450,8371/716

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 3376,8371

Least Common Multiple of Numerators i.e. LCM of 3376,8371 is 28260496.

GCF of Denominators means GCF of 450,716 as per the given fractions.

GCF of 450,716 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3376,8371

LCM of Fractions 3376/450,8371/716 is 14130248

Given numbers has no common factors except 1. So, there LCM is their product i.e 28260496

Least Common Multiple of 3376,8371 with GCF Formula

Least Common Multiple of 3376,8371 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 3376,8371 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3376,8371) = 1

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

GCF(3376,8371) x common factors =1 x 1 = 1

LCM(3376,8371) = ( 3376 × 8371 ) / 1

LCM(3376,8371) = 28260496 / 1

LCM(3376,8371) = 28260496


Lets's calculate GCF of 450,716

2 450, 716
225, 358

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28260496/2

Therefore the LCM of Fractions 3376/450,8371/716 is 14130248

Greatest Common Factor of 450,716 By Matching Biggest Common Factor Method

Greatest Common Factor of 450,716 By Matching Biggest Common Factor Method

Factors of 450

List of positive integer factors of 450 that divides 450 without a remainder.

1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450

Factors of 716

List of positive integer factors of 716 that divides 716 without a remainder.

1,2,4,179,358,716

Greatest Common Factor

We found the factors 450,716 . The biggest common factor number is the GCF number.
So the greatest common factor 450,716 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 3376/450, 8371/716

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 3376/450, 8371/716?

Answer: LCM of Numerators as per given numbers 3376/450, 8371/716 is

LCM of Numerators i.e. for 3376,8371 is 28260496

GCF of denominators i.e. for 450,716 is 2.

Thus, LCM of Fractions is 14130248.Finally, LCM of Fractions for 3376/450, 8371/716 is 14130248.