Least Common Multiple of 37/320, 858/64, 933/258

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 37/320, 858/64, 933/258 quickly i.e. 4936503 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/320, 858/64, 933/258 is 4936503.

LCM(37/320, 858/64, 933/258) = 4936503

LCM of 37/320, 858/64, 933/258

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 37/320,858/64,933/258

Given numbers are 37/320,858/64,933/258

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 37,858,933

Least Common Multiple of Numerators i.e. LCM of 37,858,933 is 9873006.

GCF of Denominators means GCF of 320,64,258 as per the given fractions.

GCF of 320,64,258 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,858,933

LCM of Fractions 37/320,858/64,933/258 is 4936503

3 37, 858, 933
37, 286, 311

∴ So the LCM of the given numbers is 3 x 37 x 286 x 311 = 9873006

Least Common Multiple of 37,858,933 with GCF Formula

Least Common Multiple of 37,858,933 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 37,858,933 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,858,933) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(37,858,933) x common factors =1 x 3 = 3

LCM(37,858,933) = ( 37 × 858 × 933 ) / 3

LCM(37,858,933) = 29619018 / 3

LCM(37,858,933) = 9873006


Lets's calculate GCF of 320,64,258

2 320, 64, 258
160, 32, 129

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9873006/2

Therefore the LCM of Fractions 37/320,858/64,933/258 is 4936503

Greatest Common Factor of 320,64,258 By Matching Biggest Common Factor Method

Greatest Common Factor of 320,64,258 By Matching Biggest Common Factor Method

Factors of 320

List of positive integer factors of 320 that divides 320 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,160,320

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 258

List of positive integer factors of 258 that divides 258 without a remainder.

1,2,3,6,43,86,129,258

Greatest Common Factor

We found the factors 320,64,258 . The biggest common factor number is the GCF number.
So the greatest common factor 320,64,258 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 37/320, 858/64, 933/258

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 37/320, 858/64, 933/258?

Answer: LCM of Numerators as per given numbers 37/320, 858/64, 933/258 is

LCM of Numerators i.e. for 37,858,933 is 9873006

GCF of denominators i.e. for 320,64,258 is 2.

Thus, LCM of Fractions is 4936503.Finally, LCM of Fractions for 37/320, 858/64, 933/258 is 4936503.