Least Common Multiple of 18/966, 31/765, 214/923

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 18/966, 31/765, 214/923 quickly i.e. 59706 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/966, 31/765, 214/923 is 59706.

LCM(18/966, 31/765, 214/923) = 59706

LCM of 18/966, 31/765, 214/923

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 18/966,31/765,214/923

Given numbers are 18/966,31/765,214/923

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 18,31,214

Least Common Multiple of Numerators i.e. LCM of 18,31,214 is 59706.

GCF of Denominators means GCF of 966,765,923 as per the given fractions.

GCF of 966,765,923 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,31,214

LCM of Fractions 18/966,31/765,214/923 is 59706

2 18, 31, 214
9, 31, 107

∴ So the LCM of the given numbers is 2 x 9 x 31 x 107 = 59706

Least Common Multiple of 18,31,214 with GCF Formula

Least Common Multiple of 18,31,214 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 18,31,214 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,31,214) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(18,31,214) x common factors =1 x 2 = 2

LCM(18,31,214) = ( 18 × 31 × 214 ) / 2

LCM(18,31,214) = 119412 / 2

LCM(18,31,214) = 59706


Lets's calculate GCF of 966,765,923

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 59706/1

Therefore the LCM of Fractions 18/966,31/765,214/923 is 59706

Greatest Common Factor of 966,765,923 By Matching Biggest Common Factor Method

Greatest Common Factor of 966,765,923 By Matching Biggest Common Factor Method

Factors of 966

List of positive integer factors of 966 that divides 966 without a remainder.

1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966

Factors of 765

List of positive integer factors of 765 that divides 765 without a remainder.

1,3,5,9,15,17,45,51,85,153,255,765

Factors of 923

List of positive integer factors of 923 that divides 923 without a remainder.

1,13,71,923

Greatest Common Factor

We found the factors 966,765,923 . The biggest common factor number is the GCF number.
So the greatest common factor 966,765,923 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 18/966, 31/765, 214/923

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 18/966, 31/765, 214/923?

Answer: LCM of Numerators as per given numbers 18/966, 31/765, 214/923 is

LCM of Numerators i.e. for 18,31,214 is 59706

GCF of denominators i.e. for 966,765,923 is 1.

Thus, LCM of Fractions is 59706.Finally, LCM of Fractions for 18/966, 31/765, 214/923 is 59706.