Least Common Multiple of 7454/813, 3360/5676

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7454/813, 3360/5676 quickly i.e. 4174240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7454/813, 3360/5676 is 4174240.

LCM(7454/813, 3360/5676) = 4174240

LCM of 7454/813, 3360/5676

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 7454/813,3360/5676

Given numbers are 7454/813,3360/5676

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 7454,3360

Least Common Multiple of Numerators i.e. LCM of 7454,3360 is 12522720.

GCF of Denominators means GCF of 813,5676 as per the given fractions.

GCF of 813,5676 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7454,3360

LCM of Fractions 7454/813,3360/5676 is 4174240

2 7454, 3360
3727, 1680

∴ So the LCM of the given numbers is 2 x 3727 x 1680 = 12522720

Least Common Multiple of 7454,3360 with GCF Formula

Least Common Multiple of 7454,3360 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 7454,3360 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7454,3360) = 2

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

GCF(7454,3360) x common factors =2 x 1 = 2

LCM(7454,3360) = ( 7454 × 3360 ) / 2

LCM(7454,3360) = 25045440 / 2

LCM(7454,3360) = 12522720


Lets's calculate GCF of 813,5676

3 813, 5676
271, 1892

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12522720/3

Therefore the LCM of Fractions 7454/813,3360/5676 is 4174240

Greatest Common Factor of 813,5676 By Matching Biggest Common Factor Method

Greatest Common Factor of 813,5676 By Matching Biggest Common Factor Method

Factors of 813

List of positive integer factors of 813 that divides 813 without a remainder.

1,3,271,813

Factors of 5676

List of positive integer factors of 5676 that divides 5676 without a remainder.

1,2,3,4,6,11,12,22,33,43,44,66,86,129,132,172,258,473,516,946,1419,1892,2838,5676

Greatest Common Factor

We found the factors 813,5676 . The biggest common factor number is the GCF number.
So the greatest common factor 813,5676 is 3.


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 7454/813, 3360/5676

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 7454/813, 3360/5676?

Answer: LCM of Numerators as per given numbers 7454/813, 3360/5676 is

LCM of Numerators i.e. for 7454,3360 is 12522720

GCF of denominators i.e. for 813,5676 is 3.

Thus, LCM of Fractions is 4174240.Finally, LCM of Fractions for 7454/813, 3360/5676 is 4174240.