Least Common Multiple of 22/214, 194/223, 632/264

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 22/214, 194/223, 632/264 quickly i.e. 674344 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 22/214, 194/223, 632/264 is 674344.

LCM(22/214, 194/223, 632/264) = 674344

LCM of 22/214, 194/223, 632/264

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 22/214,194/223,632/264

Given numbers are 22/214,194/223,632/264

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 22,194,632

Least Common Multiple of Numerators i.e. LCM of 22,194,632 is 674344.

GCF of Denominators means GCF of 214,223,264 as per the given fractions.

GCF of 214,223,264 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 22,194,632

LCM of Fractions 22/214,194/223,632/264 is 674344

2 22, 194, 632
11, 97, 316

∴ So the LCM of the given numbers is 2 x 11 x 97 x 316 = 674344

Least Common Multiple of 22,194,632 with GCF Formula

Least Common Multiple of 22,194,632 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 22,194,632 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,194,632) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(22,194,632) x common factors =2 x 2 = 4

LCM(22,194,632) = ( 22 × 194 × 632 ) / 4

LCM(22,194,632) = 2697376 / 4

LCM(22,194,632) = 674344


Lets's calculate GCF of 214,223,264

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 674344/1

Therefore the LCM of Fractions 22/214,194/223,632/264 is 674344

Greatest Common Factor of 214,223,264 By Matching Biggest Common Factor Method

Greatest Common Factor of 214,223,264 By Matching Biggest Common Factor Method

Factors of 214

List of positive integer factors of 214 that divides 214 without a remainder.

1,2,107,214

Factors of 223

List of positive integer factors of 223 that divides 223 without a remainder.

1,223

Factors of 264

List of positive integer factors of 264 that divides 264 without a remainder.

1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264

Greatest Common Factor

We found the factors 214,223,264 . The biggest common factor number is the GCF number.
So the greatest common factor 214,223,264 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 22/214, 194/223, 632/264

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 22/214, 194/223, 632/264?

Answer: LCM of Numerators as per given numbers 22/214, 194/223, 632/264 is

LCM of Numerators i.e. for 22,194,632 is 674344

GCF of denominators i.e. for 214,223,264 is 1.

Thus, LCM of Fractions is 674344.Finally, LCM of Fractions for 22/214, 194/223, 632/264 is 674344.