Least Common Multiple of 32/14, 61/72, 994/693

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 32/14, 61/72, 994/693 quickly i.e. 970144 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/14, 61/72, 994/693 is 970144.

LCM(32/14, 61/72, 994/693) = 970144

LCM of 32/14, 61/72, 994/693

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 32/14,61/72,994/693

Given numbers are 32/14,61/72,994/693

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 32,61,994

Least Common Multiple of Numerators i.e. LCM of 32,61,994 is 970144.

GCF of Denominators means GCF of 14,72,693 as per the given fractions.

GCF of 14,72,693 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,61,994

LCM of Fractions 32/14,61/72,994/693 is 970144

2 32, 61, 994
16, 61, 497

∴ So the LCM of the given numbers is 2 x 16 x 61 x 497 = 970144

Least Common Multiple of 32,61,994 with GCF Formula

Least Common Multiple of 32,61,994 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 32,61,994 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,61,994) = 1

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

GCF(32,61,994) x common factors =1 x 2 = 2

LCM(32,61,994) = ( 32 × 61 × 994 ) / 2

LCM(32,61,994) = 1940288 / 2

LCM(32,61,994) = 970144


Lets's calculate GCF of 14,72,693

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 970144/1

Therefore the LCM of Fractions 32/14,61/72,994/693 is 970144

Greatest Common Factor of 14,72,693 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,72,693 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 693

List of positive integer factors of 693 that divides 693 without a remainder.

1,3,7,9,11,21,33,63,77,99,231,693

Greatest Common Factor

We found the factors 14,72,693 . The biggest common factor number is the GCF number.
So the greatest common factor 14,72,693 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 32/14, 61/72, 994/693

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 32/14, 61/72, 994/693?

Answer: LCM of Numerators as per given numbers 32/14, 61/72, 994/693 is

LCM of Numerators i.e. for 32,61,994 is 970144

GCF of denominators i.e. for 14,72,693 is 1.

Thus, LCM of Fractions is 970144.Finally, LCM of Fractions for 32/14, 61/72, 994/693 is 970144.