Least Common Multiple of 222/72, 689/1418

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 222/72, 689/1418 quickly i.e. 76479 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 222/72, 689/1418 is 76479.

LCM(222/72, 689/1418) = 76479

LCM of 222/72, 689/1418

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 222/72,689/1418

Given numbers are 222/72,689/1418

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 222,689

Least Common Multiple of Numerators i.e. LCM of 222,689 is 152958.

GCF of Denominators means GCF of 72,1418 as per the given fractions.

GCF of 72,1418 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 222,689

LCM of Fractions 222/72,689/1418 is 76479

Given numbers has no common factors except 1. So, there LCM is their product i.e 152958

Least Common Multiple of 222,689 with GCF Formula

Least Common Multiple of 222,689 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 222,689 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(222,689) = 1

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

GCF(222,689) x common factors =1 x 1 = 1

LCM(222,689) = ( 222 × 689 ) / 1

LCM(222,689) = 152958 / 1

LCM(222,689) = 152958


Lets's calculate GCF of 72,1418

2 72, 1418
36, 709

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 152958/2

Therefore the LCM of Fractions 222/72,689/1418 is 76479

Greatest Common Factor of 72,1418 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,1418 By Matching Biggest Common Factor Method

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 1418

List of positive integer factors of 1418 that divides 1418 without a remainder.

1,2,709,1418

Greatest Common Factor

We found the factors 72,1418 . The biggest common factor number is the GCF number.
So the greatest common factor 72,1418 is 2.


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 222/72, 689/1418

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 222/72, 689/1418?

Answer: LCM of Numerators as per given numbers 222/72, 689/1418 is

LCM of Numerators i.e. for 222,689 is 152958

GCF of denominators i.e. for 72,1418 is 2.

Thus, LCM of Fractions is 76479.Finally, LCM of Fractions for 222/72, 689/1418 is 76479.