Least Common Multiple of 23/280, 625/900, 351/801

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/280, 625/900, 351/801 quickly i.e. 5045625 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/280, 625/900, 351/801 is 5045625.

LCM(23/280, 625/900, 351/801) = 5045625

LCM of 23/280, 625/900, 351/801

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 23/280,625/900,351/801

Given numbers are 23/280,625/900,351/801

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 23,625,351

Least Common Multiple of Numerators i.e. LCM of 23,625,351 is 5045625.

GCF of Denominators means GCF of 280,900,801 as per the given fractions.

GCF of 280,900,801 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,625,351

LCM of Fractions 23/280,625/900,351/801 is 5045625

Given numbers has no common factors except 1. So, there LCM is their product i.e 5045625

Least Common Multiple of 23,625,351 with GCF Formula

Least Common Multiple of 23,625,351 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 23,625,351 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,625,351) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(23,625,351) x common factors =1 x 1 = 1

LCM(23,625,351) = ( 23 × 625 × 351 ) / 1

LCM(23,625,351) = 5045625 / 1

LCM(23,625,351) = 5045625


Lets's calculate GCF of 280,900,801

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5045625/1

Therefore the LCM of Fractions 23/280,625/900,351/801 is 5045625

Greatest Common Factor of 280,900,801 By Matching Biggest Common Factor Method

Greatest Common Factor of 280,900,801 By Matching Biggest Common Factor Method

Factors of 280

List of positive integer factors of 280 that divides 280 without a remainder.

1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280

Factors of 900

List of positive integer factors of 900 that divides 900 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900

Factors of 801

List of positive integer factors of 801 that divides 801 without a remainder.

1,3,9,89,267,801

Greatest Common Factor

We found the factors 280,900,801 . The biggest common factor number is the GCF number.
So the greatest common factor 280,900,801 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 23/280, 625/900, 351/801

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 23/280, 625/900, 351/801?

Answer: LCM of Numerators as per given numbers 23/280, 625/900, 351/801 is

LCM of Numerators i.e. for 23,625,351 is 5045625

GCF of denominators i.e. for 280,900,801 is 1.

Thus, LCM of Fractions is 5045625.Finally, LCM of Fractions for 23/280, 625/900, 351/801 is 5045625.