Least Common Multiple of 38/458, 798/795, 969/136

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/458, 798/795, 969/136 quickly i.e. 13566 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/458, 798/795, 969/136 is 13566.

LCM(38/458, 798/795, 969/136) = 13566

LCM of 38/458, 798/795, 969/136

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 38/458,798/795,969/136

Given numbers are 38/458,798/795,969/136

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 38,798,969

Least Common Multiple of Numerators i.e. LCM of 38,798,969 is 13566.

GCF of Denominators means GCF of 458,795,136 as per the given fractions.

GCF of 458,795,136 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,798,969

LCM of Fractions 38/458,798/795,969/136 is 13566

2 38, 798, 969
3 19, 399, 969
19 19, 133, 323
1, 7, 17

∴ So the LCM of the given numbers is 2 x 3 x 19 x 1 x 7 x 17 = 13566

Least Common Multiple of 38,798,969 with GCF Formula

Least Common Multiple of 38,798,969 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 38,798,969 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,798,969) = 19

common factors(in case of two or more numbers have common factors) = 114

GCF(38,798,969) x common factors =19 x 114 = 2166

LCM(38,798,969) = ( 38 × 798 × 969 ) / 2166

LCM(38,798,969) = 29383956 / 2166

LCM(38,798,969) = 13566


Lets's calculate GCF of 458,795,136

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13566/1

Therefore the LCM of Fractions 38/458,798/795,969/136 is 13566

Greatest Common Factor of 458,795,136 By Matching Biggest Common Factor Method

Greatest Common Factor of 458,795,136 By Matching Biggest Common Factor Method

Factors of 458

List of positive integer factors of 458 that divides 458 without a remainder.

1,2,229,458

Factors of 795

List of positive integer factors of 795 that divides 795 without a remainder.

1,3,5,15,53,159,265,795

Factors of 136

List of positive integer factors of 136 that divides 136 without a remainder.

1,2,4,8,17,34,68,136

Greatest Common Factor

We found the factors 458,795,136 . The biggest common factor number is the GCF number.
So the greatest common factor 458,795,136 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 38/458, 798/795, 969/136

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 38/458, 798/795, 969/136?

Answer: LCM of Numerators as per given numbers 38/458, 798/795, 969/136 is

LCM of Numerators i.e. for 38,798,969 is 13566

GCF of denominators i.e. for 458,795,136 is 1.

Thus, LCM of Fractions is 13566.Finally, LCM of Fractions for 38/458, 798/795, 969/136 is 13566.