Least Common Multiple of 309/607, 5047/662

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 309/607, 5047/662 quickly i.e. 15141 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 309/607, 5047/662 is 15141.

LCM(309/607, 5047/662) = 15141

LCM of 309/607, 5047/662

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 309/607,5047/662

Given numbers are 309/607,5047/662

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 309,5047

Least Common Multiple of Numerators i.e. LCM of 309,5047 is 15141.

GCF of Denominators means GCF of 607,662 as per the given fractions.

GCF of 607,662 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 309,5047

LCM of Fractions 309/607,5047/662 is 15141

103 309, 5047
3, 49

∴ So the LCM of the given numbers is 103 x 3 x 49 = 15141

Least Common Multiple of 309,5047 with GCF Formula

Least Common Multiple of 309,5047 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 309,5047 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(309,5047) = 103

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

GCF(309,5047) x common factors =103 x 1 = 103

LCM(309,5047) = ( 309 × 5047 ) / 103

LCM(309,5047) = 1559523 / 103

LCM(309,5047) = 15141


Lets's calculate GCF of 607,662

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15141/1

Therefore the LCM of Fractions 309/607,5047/662 is 15141

Greatest Common Factor of 607,662 By Matching Biggest Common Factor Method

Greatest Common Factor of 607,662 By Matching Biggest Common Factor Method

Factors of 607

List of positive integer factors of 607 that divides 607 without a remainder.

1,607

Factors of 662

List of positive integer factors of 662 that divides 662 without a remainder.

1,2,331,662

Greatest Common Factor

We found the factors 607,662 . The biggest common factor number is the GCF number.
So the greatest common factor 607,662 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 309/607, 5047/662

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 309/607, 5047/662?

Answer: LCM of Numerators as per given numbers 309/607, 5047/662 is

LCM of Numerators i.e. for 309,5047 is 15141

GCF of denominators i.e. for 607,662 is 1.

Thus, LCM of Fractions is 15141.Finally, LCM of Fractions for 309/607, 5047/662 is 15141.