Least Common Multiple of 64/59, 68/650, 432/803

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 64/59, 68/650, 432/803 quickly i.e. 29376 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/59, 68/650, 432/803 is 29376.

LCM(64/59, 68/650, 432/803) = 29376

LCM of 64/59, 68/650, 432/803

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 64/59,68/650,432/803

Given numbers are 64/59,68/650,432/803

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 64,68,432

Least Common Multiple of Numerators i.e. LCM of 64,68,432 is 29376.

GCF of Denominators means GCF of 59,650,803 as per the given fractions.

GCF of 59,650,803 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,68,432

LCM of Fractions 64/59,68/650,432/803 is 29376

2 64, 68, 432
2 32, 34, 216
2 16, 17, 108
2 8, 17, 54
4, 17, 27

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 4 x 17 x 27 = 29376

Least Common Multiple of 64,68,432 with GCF Formula

Least Common Multiple of 64,68,432 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 64,68,432 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,68,432) = 4

common factors(in case of two or more numbers have common factors) = 16

GCF(64,68,432) x common factors =4 x 16 = 64

LCM(64,68,432) = ( 64 × 68 × 432 ) / 64

LCM(64,68,432) = 1880064 / 64

LCM(64,68,432) = 29376


Lets's calculate GCF of 59,650,803

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29376/1

Therefore the LCM of Fractions 64/59,68/650,432/803 is 29376

Greatest Common Factor of 59,650,803 By Matching Biggest Common Factor Method

Greatest Common Factor of 59,650,803 By Matching Biggest Common Factor Method

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 650

List of positive integer factors of 650 that divides 650 without a remainder.

1,2,5,10,13,25,26,50,65,130,325,650

Factors of 803

List of positive integer factors of 803 that divides 803 without a remainder.

1,11,73,803

Greatest Common Factor

We found the factors 59,650,803 . The biggest common factor number is the GCF number.
So the greatest common factor 59,650,803 is 1.


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Frequently Asked Questions on Fractional LCM of 64/59, 68/650, 432/803

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 64/59, 68/650, 432/803?

Answer: LCM of Numerators as per given numbers 64/59, 68/650, 432/803 is

LCM of Numerators i.e. for 64,68,432 is 29376

GCF of denominators i.e. for 59,650,803 is 1.

Thus, LCM of Fractions is 29376.Finally, LCM of Fractions for 64/59, 68/650, 432/803 is 29376.