Least Common Multiple of 64/34, 28/90, 763/534

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 64/34, 28/90, 763/534 quickly i.e. 24416 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/34, 28/90, 763/534 is 24416.

LCM(64/34, 28/90, 763/534) = 24416

LCM of 64/34, 28/90, 763/534

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 64/34,28/90,763/534

Given numbers are 64/34,28/90,763/534

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 64,28,763

Least Common Multiple of Numerators i.e. LCM of 64,28,763 is 48832.

GCF of Denominators means GCF of 34,90,534 as per the given fractions.

GCF of 34,90,534 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,28,763

LCM of Fractions 64/34,28/90,763/534 is 24416

2 64, 28, 763
2 32, 14, 763
7 16, 7, 763
16, 1, 109

∴ So the LCM of the given numbers is 2 x 2 x 7 x 16 x 1 x 109 = 48832

Least Common Multiple of 64,28,763 with GCF Formula

Least Common Multiple of 64,28,763 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 64,28,763 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,28,763) = 1

common factors(in case of two or more numbers have common factors) = 28

GCF(64,28,763) x common factors =1 x 28 = 28

LCM(64,28,763) = ( 64 × 28 × 763 ) / 28

LCM(64,28,763) = 1367296 / 28

LCM(64,28,763) = 48832


Lets's calculate GCF of 34,90,534

2 34, 90, 534
17, 45, 267

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48832/2

Therefore the LCM of Fractions 64/34,28/90,763/534 is 24416

Greatest Common Factor of 34,90,534 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,90,534 By Matching Biggest Common Factor Method

Factors of 34

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

1,2,17,34

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 534

List of positive integer factors of 534 that divides 534 without a remainder.

1,2,3,6,89,178,267,534

Greatest Common Factor

We found the factors 34,90,534 . The biggest common factor number is the GCF number.
So the greatest common factor 34,90,534 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 64/34, 28/90, 763/534

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 64/34, 28/90, 763/534?

Answer: LCM of Numerators as per given numbers 64/34, 28/90, 763/534 is

LCM of Numerators i.e. for 64,28,763 is 48832

GCF of denominators i.e. for 34,90,534 is 2.

Thus, LCM of Fractions is 24416.Finally, LCM of Fractions for 64/34, 28/90, 763/534 is 24416.