Least Common Multiple of 345/64, 713/1362

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 345/64, 713/1362 quickly i.e. 10695/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 345/64, 713/1362 is 10695/2.

LCM(345/64, 713/1362) = 10695/2

LCM of 345/64, 713/1362

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 345/64,713/1362

Given numbers are 345/64,713/1362

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 345,713

Least Common Multiple of Numerators i.e. LCM of 345,713 is 10695.

GCF of Denominators means GCF of 64,1362 as per the given fractions.

GCF of 64,1362 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 345,713

LCM of Fractions 345/64,713/1362 is 10695/2

23 345, 713
15, 31

∴ So the LCM of the given numbers is 23 x 15 x 31 = 10695

Least Common Multiple of 345,713 with GCF Formula

Least Common Multiple of 345,713 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 345,713 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(345,713) = 23

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

GCF(345,713) x common factors =23 x 1 = 23

LCM(345,713) = ( 345 × 713 ) / 23

LCM(345,713) = 245985 / 23

LCM(345,713) = 10695


Lets's calculate GCF of 64,1362

2 64, 1362
32, 681

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10695/2

Therefore the LCM of Fractions 345/64,713/1362 is 10695/2

Greatest Common Factor of 64,1362 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,1362 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 1362

List of positive integer factors of 1362 that divides 1362 without a remainder.

1,2,3,6,227,454,681,1362

Greatest Common Factor

We found the factors 64,1362 . The biggest common factor number is the GCF number.
So the greatest common factor 64,1362 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 345/64, 713/1362

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 345/64, 713/1362?

Answer: LCM of Numerators as per given numbers 345/64, 713/1362 is

LCM of Numerators i.e. for 345,713 is 10695

GCF of denominators i.e. for 64,1362 is 2.

Thus, LCM of Fractions is 10695/2.Finally, LCM of Fractions for 345/64, 713/1362 is 10695/2.