Least Common Multiple of 647/514, 3748/7362

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 647/514, 3748/7362 quickly i.e. 1212478 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 647/514, 3748/7362 is 1212478.

LCM(647/514, 3748/7362) = 1212478

LCM of 647/514, 3748/7362

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 647/514,3748/7362

Given numbers are 647/514,3748/7362

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 647,3748

Least Common Multiple of Numerators i.e. LCM of 647,3748 is 2424956.

GCF of Denominators means GCF of 514,7362 as per the given fractions.

GCF of 514,7362 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 647,3748

LCM of Fractions 647/514,3748/7362 is 1212478

Given numbers has no common factors except 1. So, there LCM is their product i.e 2424956

Least Common Multiple of 647,3748 with GCF Formula

Least Common Multiple of 647,3748 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 647,3748 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(647,3748) = 1

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

GCF(647,3748) x common factors =1 x 1 = 1

LCM(647,3748) = ( 647 × 3748 ) / 1

LCM(647,3748) = 2424956 / 1

LCM(647,3748) = 2424956


Lets's calculate GCF of 514,7362

2 514, 7362
257, 3681

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2424956/2

Therefore the LCM of Fractions 647/514,3748/7362 is 1212478

Greatest Common Factor of 514,7362 By Matching Biggest Common Factor Method

Greatest Common Factor of 514,7362 By Matching Biggest Common Factor Method

Factors of 514

List of positive integer factors of 514 that divides 514 without a remainder.

1,2,257,514

Factors of 7362

List of positive integer factors of 7362 that divides 7362 without a remainder.

1,2,3,6,9,18,409,818,1227,2454,3681,7362

Greatest Common Factor

We found the factors 514,7362 . The biggest common factor number is the GCF number.
So the greatest common factor 514,7362 is 2.


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 647/514, 3748/7362

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 647/514, 3748/7362?

Answer: LCM of Numerators as per given numbers 647/514, 3748/7362 is

LCM of Numerators i.e. for 647,3748 is 2424956

GCF of denominators i.e. for 514,7362 is 2.

Thus, LCM of Fractions is 1212478.Finally, LCM of Fractions for 647/514, 3748/7362 is 1212478.