Least Common Multiple of 826/18, 879/14, 490/223

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 826/18, 879/14, 490/223 quickly i.e. 25411890 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 826/18, 879/14, 490/223 is 25411890.

LCM(826/18, 879/14, 490/223) = 25411890

LCM of 826/18, 879/14, 490/223

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 826/18,879/14,490/223

Given numbers are 826/18,879/14,490/223

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 826,879,490

Least Common Multiple of Numerators i.e. LCM of 826,879,490 is 25411890.

GCF of Denominators means GCF of 18,14,223 as per the given fractions.

GCF of 18,14,223 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 826,879,490

LCM of Fractions 826/18,879/14,490/223 is 25411890

2 826, 879, 490
7 413, 879, 245
59, 879, 35

∴ So the LCM of the given numbers is 2 x 7 x 59 x 879 x 35 = 25411890

Least Common Multiple of 826,879,490 with GCF Formula

Least Common Multiple of 826,879,490 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 826,879,490 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(826,879,490) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(826,879,490) x common factors =1 x 14 = 14

LCM(826,879,490) = ( 826 × 879 × 490 ) / 14

LCM(826,879,490) = 355766460 / 14

LCM(826,879,490) = 25411890


Lets's calculate GCF of 18,14,223

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25411890/1

Therefore the LCM of Fractions 826/18,879/14,490/223 is 25411890

Greatest Common Factor of 18,14,223 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,14,223 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 223

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

1,223

Greatest Common Factor

We found the factors 18,14,223 . The biggest common factor number is the GCF number.
So the greatest common factor 18,14,223 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 826/18, 879/14, 490/223

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 826/18, 879/14, 490/223?

Answer: LCM of Numerators as per given numbers 826/18, 879/14, 490/223 is

LCM of Numerators i.e. for 826,879,490 is 25411890

GCF of denominators i.e. for 18,14,223 is 1.

Thus, LCM of Fractions is 25411890.Finally, LCM of Fractions for 826/18, 879/14, 490/223 is 25411890.