Least Common Multiple of 6273/707, 7327/1659

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6273/707, 7327/1659 quickly i.e. 2703663/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6273/707, 7327/1659 is 2703663/7.

LCM(6273/707, 7327/1659) = 2703663/7

LCM of 6273/707, 7327/1659

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 6273/707,7327/1659

Given numbers are 6273/707,7327/1659

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 6273,7327

Least Common Multiple of Numerators i.e. LCM of 6273,7327 is 2703663.

GCF of Denominators means GCF of 707,1659 as per the given fractions.

GCF of 707,1659 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6273,7327

LCM of Fractions 6273/707,7327/1659 is 2703663/7

17 6273, 7327
369, 431

∴ So the LCM of the given numbers is 17 x 369 x 431 = 2703663

Least Common Multiple of 6273,7327 with GCF Formula

Least Common Multiple of 6273,7327 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 6273,7327 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6273,7327) = 17

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

GCF(6273,7327) x common factors =17 x 1 = 17

LCM(6273,7327) = ( 6273 × 7327 ) / 17

LCM(6273,7327) = 45962271 / 17

LCM(6273,7327) = 2703663


Lets's calculate GCF of 707,1659

7 707, 1659
101, 237

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2703663/7

Therefore the LCM of Fractions 6273/707,7327/1659 is 2703663/7

Greatest Common Factor of 707,1659 By Matching Biggest Common Factor Method

Greatest Common Factor of 707,1659 By Matching Biggest Common Factor Method

Factors of 707

List of positive integer factors of 707 that divides 707 without a remainder.

1,7,101,707

Factors of 1659

List of positive integer factors of 1659 that divides 1659 without a remainder.

1,3,7,21,79,237,553,1659

Greatest Common Factor

We found the factors 707,1659 . The biggest common factor number is the GCF number.
So the greatest common factor 707,1659 is 7.


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 6273/707, 7327/1659

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 6273/707, 7327/1659?

Answer: LCM of Numerators as per given numbers 6273/707, 7327/1659 is

LCM of Numerators i.e. for 6273,7327 is 2703663

GCF of denominators i.e. for 707,1659 is 7.

Thus, LCM of Fractions is 2703663/7.Finally, LCM of Fractions for 6273/707, 7327/1659 is 2703663/7.