Least Common Multiple of 38/461, 4601/7859

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/461, 4601/7859 quickly i.e. 174838 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/461, 4601/7859 is 174838.

LCM(38/461, 4601/7859) = 174838

LCM of 38/461, 4601/7859

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 38/461,4601/7859

Given numbers are 38/461,4601/7859

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 38,4601

Least Common Multiple of Numerators i.e. LCM of 38,4601 is 174838.

GCF of Denominators means GCF of 461,7859 as per the given fractions.

GCF of 461,7859 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,4601

LCM of Fractions 38/461,4601/7859 is 174838

Given numbers has no common factors except 1. So, there LCM is their product i.e 174838

Least Common Multiple of 38,4601 with GCF Formula

Least Common Multiple of 38,4601 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 38,4601 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,4601) = 1

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

GCF(38,4601) x common factors =1 x 1 = 1

LCM(38,4601) = ( 38 × 4601 ) / 1

LCM(38,4601) = 174838 / 1

LCM(38,4601) = 174838


Lets's calculate GCF of 461,7859

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 174838/1

Therefore the LCM of Fractions 38/461,4601/7859 is 174838

Greatest Common Factor of 461,7859 By Matching Biggest Common Factor Method

Greatest Common Factor of 461,7859 By Matching Biggest Common Factor Method

Factors of 461

List of positive integer factors of 461 that divides 461 without a remainder.

1,461

Factors of 7859

List of positive integer factors of 7859 that divides 7859 without a remainder.

1,29,271,7859

Greatest Common Factor

We found the factors 461,7859 . The biggest common factor number is the GCF number.
So the greatest common factor 461,7859 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 38/461, 4601/7859

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 38/461, 4601/7859?

Answer: LCM of Numerators as per given numbers 38/461, 4601/7859 is

LCM of Numerators i.e. for 38,4601 is 174838

GCF of denominators i.e. for 461,7859 is 1.

Thus, LCM of Fractions is 174838.Finally, LCM of Fractions for 38/461, 4601/7859 is 174838.