Least Common Multiple of 213/367, 860/989, 226/328

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 213/367, 860/989, 226/328 quickly i.e. 20699340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 213/367, 860/989, 226/328 is 20699340.

LCM(213/367, 860/989, 226/328) = 20699340

LCM of 213/367, 860/989, 226/328

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 213/367,860/989,226/328

Given numbers are 213/367,860/989,226/328

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 213,860,226

Least Common Multiple of Numerators i.e. LCM of 213,860,226 is 20699340.

GCF of Denominators means GCF of 367,989,328 as per the given fractions.

GCF of 367,989,328 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 213,860,226

LCM of Fractions 213/367,860/989,226/328 is 20699340

2 213, 860, 226
213, 430, 113

∴ So the LCM of the given numbers is 2 x 213 x 430 x 113 = 20699340

Least Common Multiple of 213,860,226 with GCF Formula

Least Common Multiple of 213,860,226 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 213,860,226 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(213,860,226) = 1

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

GCF(213,860,226) x common factors =1 x 2 = 2

LCM(213,860,226) = ( 213 × 860 × 226 ) / 2

LCM(213,860,226) = 41398680 / 2

LCM(213,860,226) = 20699340


Lets's calculate GCF of 367,989,328

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20699340/1

Therefore the LCM of Fractions 213/367,860/989,226/328 is 20699340

Greatest Common Factor of 367,989,328 By Matching Biggest Common Factor Method

Greatest Common Factor of 367,989,328 By Matching Biggest Common Factor Method

Factors of 367

List of positive integer factors of 367 that divides 367 without a remainder.

1,367

Factors of 989

List of positive integer factors of 989 that divides 989 without a remainder.

1,23,43,989

Factors of 328

List of positive integer factors of 328 that divides 328 without a remainder.

1,2,4,8,41,82,164,328

Greatest Common Factor

We found the factors 367,989,328 . The biggest common factor number is the GCF number.
So the greatest common factor 367,989,328 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 213/367, 860/989, 226/328

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 213/367, 860/989, 226/328?

Answer: LCM of Numerators as per given numbers 213/367, 860/989, 226/328 is

LCM of Numerators i.e. for 213,860,226 is 20699340

GCF of denominators i.e. for 367,989,328 is 1.

Thus, LCM of Fractions is 20699340.Finally, LCM of Fractions for 213/367, 860/989, 226/328 is 20699340.