Least Common Multiple of 22/232, 28/590, 778/646

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 22/232, 28/590, 778/646 quickly i.e. 59906 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 22/232, 28/590, 778/646 is 59906.

LCM(22/232, 28/590, 778/646) = 59906

LCM of 22/232, 28/590, 778/646

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 22/232,28/590,778/646

Given numbers are 22/232,28/590,778/646

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 22,28,778

Least Common Multiple of Numerators i.e. LCM of 22,28,778 is 119812.

GCF of Denominators means GCF of 232,590,646 as per the given fractions.

GCF of 232,590,646 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 22,28,778

LCM of Fractions 22/232,28/590,778/646 is 59906

2 22, 28, 778
11, 14, 389

∴ So the LCM of the given numbers is 2 x 11 x 14 x 389 = 119812

Least Common Multiple of 22,28,778 with GCF Formula

Least Common Multiple of 22,28,778 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 22,28,778 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,28,778) = 2

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

GCF(22,28,778) x common factors =2 x 2 = 4

LCM(22,28,778) = ( 22 × 28 × 778 ) / 4

LCM(22,28,778) = 479248 / 4

LCM(22,28,778) = 119812


Lets's calculate GCF of 232,590,646

2 232, 590, 646
116, 295, 323

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 119812/2

Therefore the LCM of Fractions 22/232,28/590,778/646 is 59906

Greatest Common Factor of 232,590,646 By Matching Biggest Common Factor Method

Greatest Common Factor of 232,590,646 By Matching Biggest Common Factor Method

Factors of 232

List of positive integer factors of 232 that divides 232 without a remainder.

1,2,4,8,29,58,116,232

Factors of 590

List of positive integer factors of 590 that divides 590 without a remainder.

1,2,5,10,59,118,295,590

Factors of 646

List of positive integer factors of 646 that divides 646 without a remainder.

1,2,17,19,34,38,323,646

Greatest Common Factor

We found the factors 232,590,646 . The biggest common factor number is the GCF number.
So the greatest common factor 232,590,646 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 22/232, 28/590, 778/646

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 22/232, 28/590, 778/646?

Answer: LCM of Numerators as per given numbers 22/232, 28/590, 778/646 is

LCM of Numerators i.e. for 22,28,778 is 119812

GCF of denominators i.e. for 232,590,646 is 2.

Thus, LCM of Fractions is 59906.Finally, LCM of Fractions for 22/232, 28/590, 778/646 is 59906.