Least Common Multiple of 924/58, 128/3219

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 924/58, 128/3219 quickly i.e. 29568/29 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 924/58, 128/3219 is 29568/29.

LCM(924/58, 128/3219) = 29568/29

LCM of 924/58, 128/3219

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 924/58,128/3219

Given numbers are 924/58,128/3219

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 924,128

Least Common Multiple of Numerators i.e. LCM of 924,128 is 29568.

GCF of Denominators means GCF of 58,3219 as per the given fractions.

GCF of 58,3219 is 29 as it is the largest common factor for these numbers.

Lets's calculate LCM of 924,128

LCM of Fractions 924/58,128/3219 is 29568/29

2 924, 128
2 462, 64
231, 32

∴ So the LCM of the given numbers is 2 x 2 x 231 x 32 = 29568

Least Common Multiple of 924,128 with GCF Formula

Least Common Multiple of 924,128 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 924,128 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(924,128) = 4

common factors(in case of two or more numbers have common factors) = 1

GCF(924,128) x common factors =4 x 1 = 4

LCM(924,128) = ( 924 × 128 ) / 4

LCM(924,128) = 118272 / 4

LCM(924,128) = 29568


Lets's calculate GCF of 58,3219

29 58, 3219
2, 111

∴ So the GCF of the given numbers is 29 = 29

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29568/29

Therefore the LCM of Fractions 924/58,128/3219 is 29568/29

Greatest Common Factor of 58,3219 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,3219 By Matching Biggest Common Factor Method

Factors of 58

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

1,2,29,58

Factors of 3219

List of positive integer factors of 3219 that divides 3219 without a remainder.

1,3,29,37,87,111,1073,3219

Greatest Common Factor

We found the factors 58,3219 . The biggest common factor number is the GCF number.
So the greatest common factor 58,3219 is 29.


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 924/58, 128/3219

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 924/58, 128/3219?

Answer: LCM of Numerators as per given numbers 924/58, 128/3219 is

LCM of Numerators i.e. for 924,128 is 29568

GCF of denominators i.e. for 58,3219 is 29.

Thus, LCM of Fractions is 29568/29.Finally, LCM of Fractions for 924/58, 128/3219 is 29568/29.