Least Common Multiple of 64/594, 41/203, 236/143

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/594, 41/203, 236/143 quickly i.e. 154816 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/594, 41/203, 236/143 is 154816.

LCM(64/594, 41/203, 236/143) = 154816

LCM of 64/594, 41/203, 236/143

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 64/594,41/203,236/143

Given numbers are 64/594,41/203,236/143

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 64,41,236

Least Common Multiple of Numerators i.e. LCM of 64,41,236 is 154816.

GCF of Denominators means GCF of 594,203,143 as per the given fractions.

GCF of 594,203,143 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,41,236

LCM of Fractions 64/594,41/203,236/143 is 154816

2 64, 41, 236
2 32, 41, 118
16, 41, 59

∴ So the LCM of the given numbers is 2 x 2 x 16 x 41 x 59 = 154816

Least Common Multiple of 64,41,236 with GCF Formula

Least Common Multiple of 64,41,236 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 64,41,236 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,41,236) = 1

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

GCF(64,41,236) x common factors =1 x 4 = 4

LCM(64,41,236) = ( 64 × 41 × 236 ) / 4

LCM(64,41,236) = 619264 / 4

LCM(64,41,236) = 154816


Lets's calculate GCF of 594,203,143

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 154816/1

Therefore the LCM of Fractions 64/594,41/203,236/143 is 154816

Greatest Common Factor of 594,203,143 By Matching Biggest Common Factor Method

Greatest Common Factor of 594,203,143 By Matching Biggest Common Factor Method

Factors of 594

List of positive integer factors of 594 that divides 594 without a remainder.

1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594

Factors of 203

List of positive integer factors of 203 that divides 203 without a remainder.

1,7,29,203

Factors of 143

List of positive integer factors of 143 that divides 143 without a remainder.

1,11,13,143

Greatest Common Factor

We found the factors 594,203,143 . The biggest common factor number is the GCF number.
So the greatest common factor 594,203,143 is 1.


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 64/594, 41/203, 236/143

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 64/594, 41/203, 236/143?

Answer: LCM of Numerators as per given numbers 64/594, 41/203, 236/143 is

LCM of Numerators i.e. for 64,41,236 is 154816

GCF of denominators i.e. for 594,203,143 is 1.

Thus, LCM of Fractions is 154816.Finally, LCM of Fractions for 64/594, 41/203, 236/143 is 154816.