Least Common Multiple of 564/945, 8354/9968

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 564/945, 8354/9968 quickly i.e. 2355828/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 564/945, 8354/9968 is 2355828/7.

LCM(564/945, 8354/9968) = 2355828/7

LCM of 564/945, 8354/9968

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 564/945,8354/9968

Given numbers are 564/945,8354/9968

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 564,8354

Least Common Multiple of Numerators i.e. LCM of 564,8354 is 2355828.

GCF of Denominators means GCF of 945,9968 as per the given fractions.

GCF of 945,9968 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 564,8354

LCM of Fractions 564/945,8354/9968 is 2355828/7

2 564, 8354
282, 4177

∴ So the LCM of the given numbers is 2 x 282 x 4177 = 2355828

Least Common Multiple of 564,8354 with GCF Formula

Least Common Multiple of 564,8354 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 564,8354 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(564,8354) = 2

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

GCF(564,8354) x common factors =2 x 1 = 2

LCM(564,8354) = ( 564 × 8354 ) / 2

LCM(564,8354) = 4711656 / 2

LCM(564,8354) = 2355828


Lets's calculate GCF of 945,9968

7 945, 9968
135, 1424

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2355828/7

Therefore the LCM of Fractions 564/945,8354/9968 is 2355828/7

Greatest Common Factor of 945,9968 By Matching Biggest Common Factor Method

Greatest Common Factor of 945,9968 By Matching Biggest Common Factor Method

Factors of 945

List of positive integer factors of 945 that divides 945 without a remainder.

1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945

Factors of 9968

List of positive integer factors of 9968 that divides 9968 without a remainder.

1,2,4,7,8,14,16,28,56,89,112,178,356,623,712,1246,1424,2492,4984,9968

Greatest Common Factor

We found the factors 945,9968 . The biggest common factor number is the GCF number.
So the greatest common factor 945,9968 is 7.


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 564/945, 8354/9968

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 564/945, 8354/9968?

Answer: LCM of Numerators as per given numbers 564/945, 8354/9968 is

LCM of Numerators i.e. for 564,8354 is 2355828

GCF of denominators i.e. for 945,9968 is 7.

Thus, LCM of Fractions is 2355828/7.Finally, LCM of Fractions for 564/945, 8354/9968 is 2355828/7.