Least Common Multiple of 696/90, 639/29, 798/722

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 696/90, 639/29, 798/722 quickly i.e. 19716984 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 696/90, 639/29, 798/722 is 19716984.

LCM(696/90, 639/29, 798/722) = 19716984

LCM of 696/90, 639/29, 798/722

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 696/90,639/29,798/722

Given numbers are 696/90,639/29,798/722

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 696,639,798

Least Common Multiple of Numerators i.e. LCM of 696,639,798 is 19716984.

GCF of Denominators means GCF of 90,29,722 as per the given fractions.

GCF of 90,29,722 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 696,639,798

LCM of Fractions 696/90,639/29,798/722 is 19716984

2 696, 639, 798
3 348, 639, 399
116, 213, 133

∴ So the LCM of the given numbers is 2 x 3 x 116 x 213 x 133 = 19716984

Least Common Multiple of 696,639,798 with GCF Formula

Least Common Multiple of 696,639,798 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 696,639,798 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(696,639,798) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(696,639,798) x common factors =3 x 6 = 18

LCM(696,639,798) = ( 696 × 639 × 798 ) / 18

LCM(696,639,798) = 354905712 / 18

LCM(696,639,798) = 19716984


Lets's calculate GCF of 90,29,722

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19716984/1

Therefore the LCM of Fractions 696/90,639/29,798/722 is 19716984

Greatest Common Factor of 90,29,722 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,29,722 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 722

List of positive integer factors of 722 that divides 722 without a remainder.

1,2,19,38,361,722

Greatest Common Factor

We found the factors 90,29,722 . The biggest common factor number is the GCF number.
So the greatest common factor 90,29,722 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 696/90, 639/29, 798/722

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 696/90, 639/29, 798/722?

Answer: LCM of Numerators as per given numbers 696/90, 639/29, 798/722 is

LCM of Numerators i.e. for 696,639,798 is 19716984

GCF of denominators i.e. for 90,29,722 is 1.

Thus, LCM of Fractions is 19716984.Finally, LCM of Fractions for 696/90, 639/29, 798/722 is 19716984.