Least Common Multiple of 26/819, 425/250, 992/490

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 26/819, 425/250, 992/490 quickly i.e. 5480800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 26/819, 425/250, 992/490 is 5480800.

LCM(26/819, 425/250, 992/490) = 5480800

LCM of 26/819, 425/250, 992/490

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 26/819,425/250,992/490

Given numbers are 26/819,425/250,992/490

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 26,425,992

Least Common Multiple of Numerators i.e. LCM of 26,425,992 is 5480800.

GCF of Denominators means GCF of 819,250,490 as per the given fractions.

GCF of 819,250,490 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 26,425,992

LCM of Fractions 26/819,425/250,992/490 is 5480800

2 26, 425, 992
13, 425, 496

∴ So the LCM of the given numbers is 2 x 13 x 425 x 496 = 5480800

Least Common Multiple of 26,425,992 with GCF Formula

Least Common Multiple of 26,425,992 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 26,425,992 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,425,992) = 1

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

GCF(26,425,992) x common factors =1 x 2 = 2

LCM(26,425,992) = ( 26 × 425 × 992 ) / 2

LCM(26,425,992) = 10961600 / 2

LCM(26,425,992) = 5480800


Lets's calculate GCF of 819,250,490

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5480800/1

Therefore the LCM of Fractions 26/819,425/250,992/490 is 5480800

Greatest Common Factor of 819,250,490 By Matching Biggest Common Factor Method

Greatest Common Factor of 819,250,490 By Matching Biggest Common Factor Method

Factors of 819

List of positive integer factors of 819 that divides 819 without a remainder.

1,3,7,9,13,21,39,63,91,117,273,819

Factors of 250

List of positive integer factors of 250 that divides 250 without a remainder.

1,2,5,10,25,50,125,250

Factors of 490

List of positive integer factors of 490 that divides 490 without a remainder.

1,2,5,7,10,14,35,49,70,98,245,490

Greatest Common Factor

We found the factors 819,250,490 . The biggest common factor number is the GCF number.
So the greatest common factor 819,250,490 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 26/819, 425/250, 992/490

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 26/819, 425/250, 992/490?

Answer: LCM of Numerators as per given numbers 26/819, 425/250, 992/490 is

LCM of Numerators i.e. for 26,425,992 is 5480800

GCF of denominators i.e. for 819,250,490 is 1.

Thus, LCM of Fractions is 5480800.Finally, LCM of Fractions for 26/819, 425/250, 992/490 is 5480800.