Least Common Multiple of 17/64, 64/66, 78/34, 10/416

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 17/64, 64/66, 78/34, 10/416 quickly i.e. 106080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/64, 64/66, 78/34, 10/416 is 106080.

LCM(17/64, 64/66, 78/34, 10/416) = 106080

LCM of 17/64, 64/66, 78/34, 10/416

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 17/64,64/66,78/34,10/416

Given numbers are 17/64,64/66,78/34,10/416

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 17,64,78,10

Least Common Multiple of Numerators i.e. LCM of 17,64,78,10 is 212160.

GCF of Denominators means GCF of 64,66,34,416 as per the given fractions.

GCF of 64,66,34,416 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,64,78,10

LCM of Fractions 17/64,64/66,78/34,10/416 is 106080

2 17, 64, 78, 10
17, 32, 39, 5

∴ So the LCM of the given numbers is 2 x 17 x 32 x 39 x 5 = 212160

Least Common Multiple of 17,64,78,10 with GCF Formula

Least Common Multiple of 17,64,78,10 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 17,64,78,10 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,64,78,10) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(17,64,78,10) x common factors =1 x 4 = 4

LCM(17,64,78,10) = ( 17 × 64 × 78 × 10 ) / 4

LCM(17,64,78,10) = 848640 / 4

LCM(17,64,78,10) = 212160


Lets's calculate GCF of 64,66,34,416

2 64, 66, 34, 416
32, 33, 17, 208

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 212160/2

Therefore the LCM of Fractions 17/64,64/66,78/34,10/416 is 106080

Greatest Common Factor of 64,66,34,416 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,66,34,416 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 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 416

List of positive integer factors of 416 that divides 416 without a remainder.

1,2,4,8,13,16,26,32,52,104,208,416

Greatest Common Factor

We found the factors 64,66,34,416 . The biggest common factor number is the GCF number.
So the greatest common factor 64,66,34,416 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 17/64, 64/66, 78/34, 10/416

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 17/64, 64/66, 78/34, 10/416?

Answer: LCM of Numerators as per given numbers 17/64, 64/66, 78/34, 10/416 is

LCM of Numerators i.e. for 17,64,78,10 is 212160

GCF of denominators i.e. for 64,66,34,416 is 2.

Thus, LCM of Fractions is 106080.Finally, LCM of Fractions for 17/64, 64/66, 78/34, 10/416 is 106080.