Least Common Multiple of 26/151, 53/259, 900/994

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 26/151, 53/259, 900/994 quickly i.e. 620100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 26/151, 53/259, 900/994 is 620100.

LCM(26/151, 53/259, 900/994) = 620100

LCM of 26/151, 53/259, 900/994

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 26/151,53/259,900/994

Given numbers are 26/151,53/259,900/994

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 26,53,900

Least Common Multiple of Numerators i.e. LCM of 26,53,900 is 620100.

GCF of Denominators means GCF of 151,259,994 as per the given fractions.

GCF of 151,259,994 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 26,53,900

LCM of Fractions 26/151,53/259,900/994 is 620100

2 26, 53, 900
13, 53, 450

∴ So the LCM of the given numbers is 2 x 13 x 53 x 450 = 620100

Least Common Multiple of 26,53,900 with GCF Formula

Least Common Multiple of 26,53,900 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 26,53,900 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,53,900) = 1

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

GCF(26,53,900) x common factors =1 x 2 = 2

LCM(26,53,900) = ( 26 × 53 × 900 ) / 2

LCM(26,53,900) = 1240200 / 2

LCM(26,53,900) = 620100


Lets's calculate GCF of 151,259,994

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 620100/1

Therefore the LCM of Fractions 26/151,53/259,900/994 is 620100

Greatest Common Factor of 151,259,994 By Matching Biggest Common Factor Method

Greatest Common Factor of 151,259,994 By Matching Biggest Common Factor Method

Factors of 151

List of positive integer factors of 151 that divides 151 without a remainder.

1,151

Factors of 259

List of positive integer factors of 259 that divides 259 without a remainder.

1,7,37,259

Factors of 994

List of positive integer factors of 994 that divides 994 without a remainder.

1,2,7,14,71,142,497,994

Greatest Common Factor

We found the factors 151,259,994 . The biggest common factor number is the GCF number.
So the greatest common factor 151,259,994 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 26/151, 53/259, 900/994

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 26/151, 53/259, 900/994?

Answer: LCM of Numerators as per given numbers 26/151, 53/259, 900/994 is

LCM of Numerators i.e. for 26,53,900 is 620100

GCF of denominators i.e. for 151,259,994 is 1.

Thus, LCM of Fractions is 620100.Finally, LCM of Fractions for 26/151, 53/259, 900/994 is 620100.