Least Common Multiple of 307/613, 1149/474

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 307/613, 1149/474 quickly i.e. 352743 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 307/613, 1149/474 is 352743.

LCM(307/613, 1149/474) = 352743

LCM of 307/613, 1149/474

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 307/613,1149/474

Given numbers are 307/613,1149/474

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 307,1149

Least Common Multiple of Numerators i.e. LCM of 307,1149 is 352743.

GCF of Denominators means GCF of 613,474 as per the given fractions.

GCF of 613,474 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 307,1149

LCM of Fractions 307/613,1149/474 is 352743

Given numbers has no common factors except 1. So, there LCM is their product i.e 352743

Least Common Multiple of 307,1149 with GCF Formula

Least Common Multiple of 307,1149 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 307,1149 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(307,1149) = 1

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

GCF(307,1149) x common factors =1 x 1 = 1

LCM(307,1149) = ( 307 × 1149 ) / 1

LCM(307,1149) = 352743 / 1

LCM(307,1149) = 352743


Lets's calculate GCF of 613,474

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 352743/1

Therefore the LCM of Fractions 307/613,1149/474 is 352743

Greatest Common Factor of 613,474 By Matching Biggest Common Factor Method

Greatest Common Factor of 613,474 By Matching Biggest Common Factor Method

Factors of 613

List of positive integer factors of 613 that divides 613 without a remainder.

1,613

Factors of 474

List of positive integer factors of 474 that divides 474 without a remainder.

1,2,3,6,79,158,237,474

Greatest Common Factor

We found the factors 613,474 . The biggest common factor number is the GCF number.
So the greatest common factor 613,474 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 307/613, 1149/474

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 307/613, 1149/474?

Answer: LCM of Numerators as per given numbers 307/613, 1149/474 is

LCM of Numerators i.e. for 307,1149 is 352743

GCF of denominators i.e. for 613,474 is 1.

Thus, LCM of Fractions is 352743.Finally, LCM of Fractions for 307/613, 1149/474 is 352743.