Least Common Multiple of 88/743, 99/929, 222/382

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 88/743, 99/929, 222/382 quickly i.e. 29304 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 88/743, 99/929, 222/382 is 29304.

LCM(88/743, 99/929, 222/382) = 29304

LCM of 88/743, 99/929, 222/382

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 88/743,99/929,222/382

Given numbers are 88/743,99/929,222/382

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 88,99,222

Least Common Multiple of Numerators i.e. LCM of 88,99,222 is 29304.

GCF of Denominators means GCF of 743,929,382 as per the given fractions.

GCF of 743,929,382 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 88,99,222

LCM of Fractions 88/743,99/929,222/382 is 29304

2 88, 99, 222
3 44, 99, 111
11 44, 33, 37
4, 3, 37

∴ So the LCM of the given numbers is 2 x 3 x 11 x 4 x 3 x 37 = 29304

Least Common Multiple of 88,99,222 with GCF Formula

Least Common Multiple of 88,99,222 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 88,99,222 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,99,222) = 1

common factors(in case of two or more numbers have common factors) = 66

GCF(88,99,222) x common factors =1 x 66 = 66

LCM(88,99,222) = ( 88 × 99 × 222 ) / 66

LCM(88,99,222) = 1934064 / 66

LCM(88,99,222) = 29304


Lets's calculate GCF of 743,929,382

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29304/1

Therefore the LCM of Fractions 88/743,99/929,222/382 is 29304

Greatest Common Factor of 743,929,382 By Matching Biggest Common Factor Method

Greatest Common Factor of 743,929,382 By Matching Biggest Common Factor Method

Factors of 743

List of positive integer factors of 743 that divides 743 without a remainder.

1,743

Factors of 929

List of positive integer factors of 929 that divides 929 without a remainder.

1,929

Factors of 382

List of positive integer factors of 382 that divides 382 without a remainder.

1,2,191,382

Greatest Common Factor

We found the factors 743,929,382 . The biggest common factor number is the GCF number.
So the greatest common factor 743,929,382 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 88/743, 99/929, 222/382

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 88/743, 99/929, 222/382?

Answer: LCM of Numerators as per given numbers 88/743, 99/929, 222/382 is

LCM of Numerators i.e. for 88,99,222 is 29304

GCF of denominators i.e. for 743,929,382 is 1.

Thus, LCM of Fractions is 29304.Finally, LCM of Fractions for 88/743, 99/929, 222/382 is 29304.