Least Common Multiple of 1704/369, 7451/6715

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1704/369, 7451/6715 quickly i.e. 12696504 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1704/369, 7451/6715 is 12696504.

LCM(1704/369, 7451/6715) = 12696504

LCM of 1704/369, 7451/6715

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 1704/369,7451/6715

Given numbers are 1704/369,7451/6715

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 1704,7451

Least Common Multiple of Numerators i.e. LCM of 1704,7451 is 12696504.

GCF of Denominators means GCF of 369,6715 as per the given fractions.

GCF of 369,6715 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1704,7451

LCM of Fractions 1704/369,7451/6715 is 12696504

Given numbers has no common factors except 1. So, there LCM is their product i.e 12696504

Least Common Multiple of 1704,7451 with GCF Formula

Least Common Multiple of 1704,7451 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 1704,7451 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1704,7451) = 1

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

GCF(1704,7451) x common factors =1 x 1 = 1

LCM(1704,7451) = ( 1704 × 7451 ) / 1

LCM(1704,7451) = 12696504 / 1

LCM(1704,7451) = 12696504


Lets's calculate GCF of 369,6715

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12696504/1

Therefore the LCM of Fractions 1704/369,7451/6715 is 12696504

Greatest Common Factor of 369,6715 By Matching Biggest Common Factor Method

Greatest Common Factor of 369,6715 By Matching Biggest Common Factor Method

Factors of 369

List of positive integer factors of 369 that divides 369 without a remainder.

1,3,9,41,123,369

Factors of 6715

List of positive integer factors of 6715 that divides 6715 without a remainder.

1,5,17,79,85,395,1343,6715

Greatest Common Factor

We found the factors 369,6715 . The biggest common factor number is the GCF number.
So the greatest common factor 369,6715 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 1704/369, 7451/6715

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 1704/369, 7451/6715?

Answer: LCM of Numerators as per given numbers 1704/369, 7451/6715 is

LCM of Numerators i.e. for 1704,7451 is 12696504

GCF of denominators i.e. for 369,6715 is 1.

Thus, LCM of Fractions is 12696504.Finally, LCM of Fractions for 1704/369, 7451/6715 is 12696504.