Least Common Multiple of 83/222, 64/727, 692/294

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/222, 64/727, 692/294 quickly i.e. 918976 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/222, 64/727, 692/294 is 918976.

LCM(83/222, 64/727, 692/294) = 918976

LCM of 83/222, 64/727, 692/294

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 83/222,64/727,692/294

Given numbers are 83/222,64/727,692/294

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 83,64,692

Least Common Multiple of Numerators i.e. LCM of 83,64,692 is 918976.

GCF of Denominators means GCF of 222,727,294 as per the given fractions.

GCF of 222,727,294 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,64,692

LCM of Fractions 83/222,64/727,692/294 is 918976

2 83, 64, 692
2 83, 32, 346
83, 16, 173

∴ So the LCM of the given numbers is 2 x 2 x 83 x 16 x 173 = 918976

Least Common Multiple of 83,64,692 with GCF Formula

Least Common Multiple of 83,64,692 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 83,64,692 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,64,692) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(83,64,692) x common factors =1 x 4 = 4

LCM(83,64,692) = ( 83 × 64 × 692 ) / 4

LCM(83,64,692) = 3675904 / 4

LCM(83,64,692) = 918976


Lets's calculate GCF of 222,727,294

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 918976/1

Therefore the LCM of Fractions 83/222,64/727,692/294 is 918976

Greatest Common Factor of 222,727,294 By Matching Biggest Common Factor Method

Greatest Common Factor of 222,727,294 By Matching Biggest Common Factor Method

Factors of 222

List of positive integer factors of 222 that divides 222 without a remainder.

1,2,3,6,37,74,111,222

Factors of 727

List of positive integer factors of 727 that divides 727 without a remainder.

1,727

Factors of 294

List of positive integer factors of 294 that divides 294 without a remainder.

1,2,3,6,7,14,21,42,49,98,147,294

Greatest Common Factor

We found the factors 222,727,294 . The biggest common factor number is the GCF number.
So the greatest common factor 222,727,294 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 83/222, 64/727, 692/294

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 83/222, 64/727, 692/294?

Answer: LCM of Numerators as per given numbers 83/222, 64/727, 692/294 is

LCM of Numerators i.e. for 83,64,692 is 918976

GCF of denominators i.e. for 222,727,294 is 1.

Thus, LCM of Fractions is 918976.Finally, LCM of Fractions for 83/222, 64/727, 692/294 is 918976.