Least Common Multiple of 8307/674, 1912/3949

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8307/674, 1912/3949 quickly i.e. 15882984 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8307/674, 1912/3949 is 15882984.

LCM(8307/674, 1912/3949) = 15882984

LCM of 8307/674, 1912/3949

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 8307/674,1912/3949

Given numbers are 8307/674,1912/3949

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 8307,1912

Least Common Multiple of Numerators i.e. LCM of 8307,1912 is 15882984.

GCF of Denominators means GCF of 674,3949 as per the given fractions.

GCF of 674,3949 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8307,1912

LCM of Fractions 8307/674,1912/3949 is 15882984

Given numbers has no common factors except 1. So, there LCM is their product i.e 15882984

Least Common Multiple of 8307,1912 with GCF Formula

Least Common Multiple of 8307,1912 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 8307,1912 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8307,1912) = 1

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

GCF(8307,1912) x common factors =1 x 1 = 1

LCM(8307,1912) = ( 8307 × 1912 ) / 1

LCM(8307,1912) = 15882984 / 1

LCM(8307,1912) = 15882984


Lets's calculate GCF of 674,3949

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15882984/1

Therefore the LCM of Fractions 8307/674,1912/3949 is 15882984

Greatest Common Factor of 674,3949 By Matching Biggest Common Factor Method

Greatest Common Factor of 674,3949 By Matching Biggest Common Factor Method

Factors of 674

List of positive integer factors of 674 that divides 674 without a remainder.

1,2,337,674

Factors of 3949

List of positive integer factors of 3949 that divides 3949 without a remainder.

1,11,359,3949

Greatest Common Factor

We found the factors 674,3949 . The biggest common factor number is the GCF number.
So the greatest common factor 674,3949 is 1.


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 8307/674, 1912/3949

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 8307/674, 1912/3949?

Answer: LCM of Numerators as per given numbers 8307/674, 1912/3949 is

LCM of Numerators i.e. for 8307,1912 is 15882984

GCF of denominators i.e. for 674,3949 is 1.

Thus, LCM of Fractions is 15882984.Finally, LCM of Fractions for 8307/674, 1912/3949 is 15882984.