Least Common Multiple of 38/934, 829/726, 165/257

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 38/934, 829/726, 165/257 quickly i.e. 5197830 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/934, 829/726, 165/257 is 5197830.

LCM(38/934, 829/726, 165/257) = 5197830

LCM of 38/934, 829/726, 165/257

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 38/934,829/726,165/257

Given numbers are 38/934,829/726,165/257

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 38,829,165

Least Common Multiple of Numerators i.e. LCM of 38,829,165 is 5197830.

GCF of Denominators means GCF of 934,726,257 as per the given fractions.

GCF of 934,726,257 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,829,165

LCM of Fractions 38/934,829/726,165/257 is 5197830

Given numbers has no common factors except 1. So, there LCM is their product i.e 5197830

Least Common Multiple of 38,829,165 with GCF Formula

Least Common Multiple of 38,829,165 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 38,829,165 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,829,165) = 1

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

GCF(38,829,165) x common factors =1 x 1 = 1

LCM(38,829,165) = ( 38 × 829 × 165 ) / 1

LCM(38,829,165) = 5197830 / 1

LCM(38,829,165) = 5197830


Lets's calculate GCF of 934,726,257

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5197830/1

Therefore the LCM of Fractions 38/934,829/726,165/257 is 5197830

Greatest Common Factor of 934,726,257 By Matching Biggest Common Factor Method

Greatest Common Factor of 934,726,257 By Matching Biggest Common Factor Method

Factors of 934

List of positive integer factors of 934 that divides 934 without a remainder.

1,2,467,934

Factors of 726

List of positive integer factors of 726 that divides 726 without a remainder.

1,2,3,6,11,22,33,66,121,242,363,726

Factors of 257

List of positive integer factors of 257 that divides 257 without a remainder.

1,257

Greatest Common Factor

We found the factors 934,726,257 . The biggest common factor number is the GCF number.
So the greatest common factor 934,726,257 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 38/934, 829/726, 165/257

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 38/934, 829/726, 165/257?

Answer: LCM of Numerators as per given numbers 38/934, 829/726, 165/257 is

LCM of Numerators i.e. for 38,829,165 is 5197830

GCF of denominators i.e. for 934,726,257 is 1.

Thus, LCM of Fractions is 5197830.Finally, LCM of Fractions for 38/934, 829/726, 165/257 is 5197830.