Least Common Multiple of 931/19, 696/12, 143/16

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 931/19, 696/12, 143/16 quickly i.e. 92660568 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 931/19, 696/12, 143/16 is 92660568.

LCM(931/19, 696/12, 143/16) = 92660568

LCM of 931/19, 696/12, 143/16

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 931/19,696/12,143/16

Given numbers are 931/19,696/12,143/16

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 931,696,143

Least Common Multiple of Numerators i.e. LCM of 931,696,143 is 92660568.

GCF of Denominators means GCF of 19,12,16 as per the given fractions.

GCF of 19,12,16 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 931,696,143

LCM of Fractions 931/19,696/12,143/16 is 92660568

Given numbers has no common factors except 1. So, there LCM is their product i.e 92660568

Least Common Multiple of 931,696,143 with GCF Formula

Least Common Multiple of 931,696,143 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 931,696,143 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(931,696,143) = 1

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

GCF(931,696,143) x common factors =1 x 1 = 1

LCM(931,696,143) = ( 931 × 696 × 143 ) / 1

LCM(931,696,143) = 92660568 / 1

LCM(931,696,143) = 92660568


Lets's calculate GCF of 19,12,16

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 92660568/1

Therefore the LCM of Fractions 931/19,696/12,143/16 is 92660568

Greatest Common Factor of 19,12,16 By Matching Biggest Common Factor Method

Greatest Common Factor of 19,12,16 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 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Greatest Common Factor

We found the factors 19,12,16 . The biggest common factor number is the GCF number.
So the greatest common factor 19,12,16 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 931/19, 696/12, 143/16

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 931/19, 696/12, 143/16?

Answer: LCM of Numerators as per given numbers 931/19, 696/12, 143/16 is

LCM of Numerators i.e. for 931,696,143 is 92660568

GCF of denominators i.e. for 19,12,16 is 1.

Thus, LCM of Fractions is 92660568.Finally, LCM of Fractions for 931/19, 696/12, 143/16 is 92660568.