Least Common Multiple of 826/21, 326/30, 155/50

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 826/21, 326/30, 155/50 quickly i.e. 20868890 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 826/21, 326/30, 155/50 is 20868890.

LCM(826/21, 326/30, 155/50) = 20868890

LCM of 826/21, 326/30, 155/50

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 826/21,326/30,155/50

Given numbers are 826/21,326/30,155/50

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 826,326,155

Least Common Multiple of Numerators i.e. LCM of 826,326,155 is 20868890.

GCF of Denominators means GCF of 21,30,50 as per the given fractions.

GCF of 21,30,50 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 826,326,155

LCM of Fractions 826/21,326/30,155/50 is 20868890

2 826, 326, 155
413, 163, 155

∴ So the LCM of the given numbers is 2 x 413 x 163 x 155 = 20868890

Least Common Multiple of 826,326,155 with GCF Formula

Least Common Multiple of 826,326,155 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 826,326,155 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(826,326,155) = 1

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

GCF(826,326,155) x common factors =1 x 2 = 2

LCM(826,326,155) = ( 826 × 326 × 155 ) / 2

LCM(826,326,155) = 41737780 / 2

LCM(826,326,155) = 20868890


Lets's calculate GCF of 21,30,50

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20868890/1

Therefore the LCM of Fractions 826/21,326/30,155/50 is 20868890

Greatest Common Factor of 21,30,50 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,30,50 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Greatest Common Factor

We found the factors 21,30,50 . The biggest common factor number is the GCF number.
So the greatest common factor 21,30,50 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 826/21, 326/30, 155/50

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 826/21, 326/30, 155/50?

Answer: LCM of Numerators as per given numbers 826/21, 326/30, 155/50 is

LCM of Numerators i.e. for 826,326,155 is 20868890

GCF of denominators i.e. for 21,30,50 is 1.

Thus, LCM of Fractions is 20868890.Finally, LCM of Fractions for 826/21, 326/30, 155/50 is 20868890.