Least Common Multiple of 5346/694, 9328/3690

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5346/694, 9328/3690 quickly i.e. 1133352 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5346/694, 9328/3690 is 1133352.

LCM(5346/694, 9328/3690) = 1133352

LCM of 5346/694, 9328/3690

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 5346/694,9328/3690

Given numbers are 5346/694,9328/3690

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 5346,9328

Least Common Multiple of Numerators i.e. LCM of 5346,9328 is 2266704.

GCF of Denominators means GCF of 694,3690 as per the given fractions.

GCF of 694,3690 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5346,9328

LCM of Fractions 5346/694,9328/3690 is 1133352

2 5346, 9328
11 2673, 4664
243, 424

∴ So the LCM of the given numbers is 2 x 11 x 243 x 424 = 2266704

Least Common Multiple of 5346,9328 with GCF Formula

Least Common Multiple of 5346,9328 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 5346,9328 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5346,9328) = 22

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

GCF(5346,9328) x common factors =22 x 1 = 22

LCM(5346,9328) = ( 5346 × 9328 ) / 22

LCM(5346,9328) = 49867488 / 22

LCM(5346,9328) = 2266704


Lets's calculate GCF of 694,3690

2 694, 3690
347, 1845

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2266704/2

Therefore the LCM of Fractions 5346/694,9328/3690 is 1133352

Greatest Common Factor of 694,3690 By Matching Biggest Common Factor Method

Greatest Common Factor of 694,3690 By Matching Biggest Common Factor Method

Factors of 694

List of positive integer factors of 694 that divides 694 without a remainder.

1,2,347,694

Factors of 3690

List of positive integer factors of 3690 that divides 3690 without a remainder.

1,2,3,5,6,9,10,15,18,30,41,45,82,90,123,205,246,369,410,615,738,1230,1845,3690

Greatest Common Factor

We found the factors 694,3690 . The biggest common factor number is the GCF number.
So the greatest common factor 694,3690 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 5346/694, 9328/3690

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 5346/694, 9328/3690?

Answer: LCM of Numerators as per given numbers 5346/694, 9328/3690 is

LCM of Numerators i.e. for 5346,9328 is 2266704

GCF of denominators i.e. for 694,3690 is 2.

Thus, LCM of Fractions is 1133352.Finally, LCM of Fractions for 5346/694, 9328/3690 is 1133352.