Least Common Multiple of 364/19, 863/4931

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 364/19, 863/4931 quickly i.e. 314132 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 364/19, 863/4931 is 314132.

LCM(364/19, 863/4931) = 314132

LCM of 364/19, 863/4931

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 364/19,863/4931

Given numbers are 364/19,863/4931

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 364,863

Least Common Multiple of Numerators i.e. LCM of 364,863 is 314132.

GCF of Denominators means GCF of 19,4931 as per the given fractions.

GCF of 19,4931 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 364,863

LCM of Fractions 364/19,863/4931 is 314132

Given numbers has no common factors except 1. So, there LCM is their product i.e 314132

Least Common Multiple of 364,863 with GCF Formula

Least Common Multiple of 364,863 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 364,863 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(364,863) = 1

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

GCF(364,863) x common factors =1 x 1 = 1

LCM(364,863) = ( 364 × 863 ) / 1

LCM(364,863) = 314132 / 1

LCM(364,863) = 314132


Lets's calculate GCF of 19,4931

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 314132/1

Therefore the LCM of Fractions 364/19,863/4931 is 314132

Greatest Common Factor of 19,4931 By Matching Biggest Common Factor Method

Greatest Common Factor of 19,4931 By Matching Biggest Common Factor Method

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 4931

List of positive integer factors of 4931 that divides 4931 without a remainder.

1,4931

Greatest Common Factor

We found the factors 19,4931 . The biggest common factor number is the GCF number.
So the greatest common factor 19,4931 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 364/19, 863/4931

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 364/19, 863/4931?

Answer: LCM of Numerators as per given numbers 364/19, 863/4931 is

LCM of Numerators i.e. for 364,863 is 314132

GCF of denominators i.e. for 19,4931 is 1.

Thus, LCM of Fractions is 314132.Finally, LCM of Fractions for 364/19, 863/4931 is 314132.