Least Common Multiple of 41/64, 328/58, 548/964

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 41/64, 328/58, 548/964 quickly i.e. 22468 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 41/64, 328/58, 548/964 is 22468.

LCM(41/64, 328/58, 548/964) = 22468

LCM of 41/64, 328/58, 548/964

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 41/64,328/58,548/964

Given numbers are 41/64,328/58,548/964

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 41,328,548

Least Common Multiple of Numerators i.e. LCM of 41,328,548 is 44936.

GCF of Denominators means GCF of 64,58,964 as per the given fractions.

GCF of 64,58,964 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 41,328,548

LCM of Fractions 41/64,328/58,548/964 is 22468

2 41, 328, 548
2 41, 164, 274
41 41, 82, 137
1, 2, 137

∴ So the LCM of the given numbers is 2 x 2 x 41 x 1 x 2 x 137 = 44936

Least Common Multiple of 41,328,548 with GCF Formula

Least Common Multiple of 41,328,548 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 41,328,548 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,328,548) = 1

common factors(in case of two or more numbers have common factors) = 164

GCF(41,328,548) x common factors =1 x 164 = 164

LCM(41,328,548) = ( 41 × 328 × 548 ) / 164

LCM(41,328,548) = 7369504 / 164

LCM(41,328,548) = 44936


Lets's calculate GCF of 64,58,964

2 64, 58, 964
32, 29, 482

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44936/2

Therefore the LCM of Fractions 41/64,328/58,548/964 is 22468

Greatest Common Factor of 64,58,964 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,58,964 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 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 964

List of positive integer factors of 964 that divides 964 without a remainder.

1,2,4,241,482,964

Greatest Common Factor

We found the factors 64,58,964 . The biggest common factor number is the GCF number.
So the greatest common factor 64,58,964 is 2.


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 41/64, 328/58, 548/964

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 41/64, 328/58, 548/964?

Answer: LCM of Numerators as per given numbers 41/64, 328/58, 548/964 is

LCM of Numerators i.e. for 41,328,548 is 44936

GCF of denominators i.e. for 64,58,964 is 2.

Thus, LCM of Fractions is 22468.Finally, LCM of Fractions for 41/64, 328/58, 548/964 is 22468.