Least Common Multiple of 3504/812, 6537/5735

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3504/812, 6537/5735 quickly i.e. 7635216 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3504/812, 6537/5735 is 7635216.

LCM(3504/812, 6537/5735) = 7635216

LCM of 3504/812, 6537/5735

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 3504/812,6537/5735

Given numbers are 3504/812,6537/5735

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 3504,6537

Least Common Multiple of Numerators i.e. LCM of 3504,6537 is 7635216.

GCF of Denominators means GCF of 812,5735 as per the given fractions.

GCF of 812,5735 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3504,6537

LCM of Fractions 3504/812,6537/5735 is 7635216

3 3504, 6537
1168, 2179

∴ So the LCM of the given numbers is 3 x 1168 x 2179 = 7635216

Least Common Multiple of 3504,6537 with GCF Formula

Least Common Multiple of 3504,6537 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 3504,6537 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3504,6537) = 3

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

GCF(3504,6537) x common factors =3 x 1 = 3

LCM(3504,6537) = ( 3504 × 6537 ) / 3

LCM(3504,6537) = 22905648 / 3

LCM(3504,6537) = 7635216


Lets's calculate GCF of 812,5735

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7635216/1

Therefore the LCM of Fractions 3504/812,6537/5735 is 7635216

Greatest Common Factor of 812,5735 By Matching Biggest Common Factor Method

Greatest Common Factor of 812,5735 By Matching Biggest Common Factor Method

Factors of 812

List of positive integer factors of 812 that divides 812 without a remainder.

1,2,4,7,14,28,29,58,116,203,406,812

Factors of 5735

List of positive integer factors of 5735 that divides 5735 without a remainder.

1,5,31,37,155,185,1147,5735

Greatest Common Factor

We found the factors 812,5735 . The biggest common factor number is the GCF number.
So the greatest common factor 812,5735 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 3504/812, 6537/5735

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 3504/812, 6537/5735?

Answer: LCM of Numerators as per given numbers 3504/812, 6537/5735 is

LCM of Numerators i.e. for 3504,6537 is 7635216

GCF of denominators i.e. for 812,5735 is 1.

Thus, LCM of Fractions is 7635216.Finally, LCM of Fractions for 3504/812, 6537/5735 is 7635216.