Least Common Multiple of 826/14, 100/15, 582/263

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 826/14, 100/15, 582/263 quickly i.e. 12018300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 826/14, 100/15, 582/263 is 12018300.

LCM(826/14, 100/15, 582/263) = 12018300

LCM of 826/14, 100/15, 582/263

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 826/14,100/15,582/263

Given numbers are 826/14,100/15,582/263

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 826,100,582

Least Common Multiple of Numerators i.e. LCM of 826,100,582 is 12018300.

GCF of Denominators means GCF of 14,15,263 as per the given fractions.

GCF of 14,15,263 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 826,100,582

LCM of Fractions 826/14,100/15,582/263 is 12018300

2 826, 100, 582
413, 50, 291

∴ So the LCM of the given numbers is 2 x 413 x 50 x 291 = 12018300

Least Common Multiple of 826,100,582 with GCF Formula

Least Common Multiple of 826,100,582 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 826,100,582 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(826,100,582) = 2

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

GCF(826,100,582) x common factors =2 x 2 = 4

LCM(826,100,582) = ( 826 × 100 × 582 ) / 4

LCM(826,100,582) = 48073200 / 4

LCM(826,100,582) = 12018300


Lets's calculate GCF of 14,15,263

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12018300/1

Therefore the LCM of Fractions 826/14,100/15,582/263 is 12018300

Greatest Common Factor of 14,15,263 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,15,263 By Matching Biggest Common Factor Method

Factors of 14

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

1,2,7,14

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 263

List of positive integer factors of 263 that divides 263 without a remainder.

1,263

Greatest Common Factor

We found the factors 14,15,263 . The biggest common factor number is the GCF number.
So the greatest common factor 14,15,263 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 826/14, 100/15, 582/263

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 826/14, 100/15, 582/263?

Answer: LCM of Numerators as per given numbers 826/14, 100/15, 582/263 is

LCM of Numerators i.e. for 826,100,582 is 12018300

GCF of denominators i.e. for 14,15,263 is 1.

Thus, LCM of Fractions is 12018300.Finally, LCM of Fractions for 826/14, 100/15, 582/263 is 12018300.