Least Common Multiple of 21/348, 58/219, 669/266

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/348, 58/219, 669/266 quickly i.e. 271614 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/348, 58/219, 669/266 is 271614.

LCM(21/348, 58/219, 669/266) = 271614

LCM of 21/348, 58/219, 669/266

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 21/348,58/219,669/266

Given numbers are 21/348,58/219,669/266

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 21,58,669

Least Common Multiple of Numerators i.e. LCM of 21,58,669 is 271614.

GCF of Denominators means GCF of 348,219,266 as per the given fractions.

GCF of 348,219,266 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,58,669

LCM of Fractions 21/348,58/219,669/266 is 271614

3 21, 58, 669
7, 58, 223

∴ So the LCM of the given numbers is 3 x 7 x 58 x 223 = 271614

Least Common Multiple of 21,58,669 with GCF Formula

Least Common Multiple of 21,58,669 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 21,58,669 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,58,669) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(21,58,669) x common factors =1 x 3 = 3

LCM(21,58,669) = ( 21 × 58 × 669 ) / 3

LCM(21,58,669) = 814842 / 3

LCM(21,58,669) = 271614


Lets's calculate GCF of 348,219,266

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 271614/1

Therefore the LCM of Fractions 21/348,58/219,669/266 is 271614

Greatest Common Factor of 348,219,266 By Matching Biggest Common Factor Method

Greatest Common Factor of 348,219,266 By Matching Biggest Common Factor Method

Factors of 348

List of positive integer factors of 348 that divides 348 without a remainder.

1,2,3,4,6,12,29,58,87,116,174,348

Factors of 219

List of positive integer factors of 219 that divides 219 without a remainder.

1,3,73,219

Factors of 266

List of positive integer factors of 266 that divides 266 without a remainder.

1,2,7,14,19,38,133,266

Greatest Common Factor

We found the factors 348,219,266 . The biggest common factor number is the GCF number.
So the greatest common factor 348,219,266 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 21/348, 58/219, 669/266

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 21/348, 58/219, 669/266?

Answer: LCM of Numerators as per given numbers 21/348, 58/219, 669/266 is

LCM of Numerators i.e. for 21,58,669 is 271614

GCF of denominators i.e. for 348,219,266 is 1.

Thus, LCM of Fractions is 271614.Finally, LCM of Fractions for 21/348, 58/219, 669/266 is 271614.