Least Common Multiple of 8297/412, 5266/1676

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8297/412, 5266/1676 quickly i.e. 43692002/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8297/412, 5266/1676 is 43692002/4.

LCM(8297/412, 5266/1676) = 43692002/4

LCM of 8297/412, 5266/1676

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 8297/412,5266/1676

Given numbers are 8297/412,5266/1676

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 8297,5266

Least Common Multiple of Numerators i.e. LCM of 8297,5266 is 43692002.

GCF of Denominators means GCF of 412,1676 as per the given fractions.

GCF of 412,1676 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8297,5266

LCM of Fractions 8297/412,5266/1676 is 43692002/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 43692002

Least Common Multiple of 8297,5266 with GCF Formula

Least Common Multiple of 8297,5266 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 8297,5266 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8297,5266) = 1

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

GCF(8297,5266) x common factors =1 x 1 = 1

LCM(8297,5266) = ( 8297 × 5266 ) / 1

LCM(8297,5266) = 43692002 / 1

LCM(8297,5266) = 43692002


Lets's calculate GCF of 412,1676

2 412, 1676
2 206, 838
103, 419

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43692002/4

Therefore the LCM of Fractions 8297/412,5266/1676 is 43692002/4

Greatest Common Factor of 412,1676 By Matching Biggest Common Factor Method

Greatest Common Factor of 412,1676 By Matching Biggest Common Factor Method

Factors of 412

List of positive integer factors of 412 that divides 412 without a remainder.

1,2,4,103,206,412

Factors of 1676

List of positive integer factors of 1676 that divides 1676 without a remainder.

1,2,4,419,838,1676

Greatest Common Factor

We found the factors 412,1676 . The biggest common factor number is the GCF number.
So the greatest common factor 412,1676 is 4.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 8297/412, 5266/1676

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 8297/412, 5266/1676?

Answer: LCM of Numerators as per given numbers 8297/412, 5266/1676 is

LCM of Numerators i.e. for 8297,5266 is 43692002

GCF of denominators i.e. for 412,1676 is 4.

Thus, LCM of Fractions is 43692002/4.Finally, LCM of Fractions for 8297/412, 5266/1676 is 43692002/4.