Least Common Multiple of 222/68, 414/72, 600/96

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 222/68, 414/72, 600/96 quickly i.e. 382950 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 222/68, 414/72, 600/96 is 382950.

LCM(222/68, 414/72, 600/96) = 382950

LCM of 222/68, 414/72, 600/96

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 222/68,414/72,600/96

Given numbers are 222/68,414/72,600/96

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 222,414,600

Least Common Multiple of Numerators i.e. LCM of 222,414,600 is 1531800.

GCF of Denominators means GCF of 68,72,96 as per the given fractions.

GCF of 68,72,96 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 222,414,600

LCM of Fractions 222/68,414/72,600/96 is 382950

2 222, 414, 600
3 111, 207, 300
37, 69, 100

∴ So the LCM of the given numbers is 2 x 3 x 37 x 69 x 100 = 1531800

Least Common Multiple of 222,414,600 with GCF Formula

Least Common Multiple of 222,414,600 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 222,414,600 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(222,414,600) = 6

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

GCF(222,414,600) x common factors =6 x 6 = 36

LCM(222,414,600) = ( 222 × 414 × 600 ) / 36

LCM(222,414,600) = 55144800 / 36

LCM(222,414,600) = 1531800


Lets's calculate GCF of 68,72,96

2 68, 72, 96
2 34, 36, 48
17, 18, 24

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1531800/4

Therefore the LCM of Fractions 222/68,414/72,600/96 is 382950

Greatest Common Factor of 68,72,96 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,72,96 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

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 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Greatest Common Factor

We found the factors 68,72,96 . The biggest common factor number is the GCF number.
So the greatest common factor 68,72,96 is 4.


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 222/68, 414/72, 600/96

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 222/68, 414/72, 600/96?

Answer: LCM of Numerators as per given numbers 222/68, 414/72, 600/96 is

LCM of Numerators i.e. for 222,414,600 is 1531800

GCF of denominators i.e. for 68,72,96 is 4.

Thus, LCM of Fractions is 382950.Finally, LCM of Fractions for 222/68, 414/72, 600/96 is 382950.