Least Common Multiple of 18/95, 421/31, 973/788

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 18/95, 421/31, 973/788 quickly i.e. 7373394 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/95, 421/31, 973/788 is 7373394.

LCM(18/95, 421/31, 973/788) = 7373394

LCM of 18/95, 421/31, 973/788

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 18/95,421/31,973/788

Given numbers are 18/95,421/31,973/788

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 18,421,973

Least Common Multiple of Numerators i.e. LCM of 18,421,973 is 7373394.

GCF of Denominators means GCF of 95,31,788 as per the given fractions.

GCF of 95,31,788 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,421,973

LCM of Fractions 18/95,421/31,973/788 is 7373394

Given numbers has no common factors except 1. So, there LCM is their product i.e 7373394

Least Common Multiple of 18,421,973 with GCF Formula

Least Common Multiple of 18,421,973 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 18,421,973 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,421,973) = 1

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

GCF(18,421,973) x common factors =1 x 1 = 1

LCM(18,421,973) = ( 18 × 421 × 973 ) / 1

LCM(18,421,973) = 7373394 / 1

LCM(18,421,973) = 7373394


Lets's calculate GCF of 95,31,788

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7373394/1

Therefore the LCM of Fractions 18/95,421/31,973/788 is 7373394

Greatest Common Factor of 95,31,788 By Matching Biggest Common Factor Method

Greatest Common Factor of 95,31,788 By Matching Biggest Common Factor Method

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 788

List of positive integer factors of 788 that divides 788 without a remainder.

1,2,4,197,394,788

Greatest Common Factor

We found the factors 95,31,788 . The biggest common factor number is the GCF number.
So the greatest common factor 95,31,788 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 18/95, 421/31, 973/788

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 18/95, 421/31, 973/788?

Answer: LCM of Numerators as per given numbers 18/95, 421/31, 973/788 is

LCM of Numerators i.e. for 18,421,973 is 7373394

GCF of denominators i.e. for 95,31,788 is 1.

Thus, LCM of Fractions is 7373394.Finally, LCM of Fractions for 18/95, 421/31, 973/788 is 7373394.