Least Common Multiple of 25/420, 41/286, 633/743

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 25/420, 41/286, 633/743 quickly i.e. 648825 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 25/420, 41/286, 633/743 is 648825.

LCM(25/420, 41/286, 633/743) = 648825

LCM of 25/420, 41/286, 633/743

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 25/420,41/286,633/743

Given numbers are 25/420,41/286,633/743

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 25,41,633

Least Common Multiple of Numerators i.e. LCM of 25,41,633 is 648825.

GCF of Denominators means GCF of 420,286,743 as per the given fractions.

GCF of 420,286,743 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 25,41,633

LCM of Fractions 25/420,41/286,633/743 is 648825

Given numbers has no common factors except 1. So, there LCM is their product i.e 648825

Least Common Multiple of 25,41,633 with GCF Formula

Least Common Multiple of 25,41,633 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 25,41,633 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,41,633) = 1

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

GCF(25,41,633) x common factors =1 x 1 = 1

LCM(25,41,633) = ( 25 × 41 × 633 ) / 1

LCM(25,41,633) = 648825 / 1

LCM(25,41,633) = 648825


Lets's calculate GCF of 420,286,743

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 648825/1

Therefore the LCM of Fractions 25/420,41/286,633/743 is 648825

Greatest Common Factor of 420,286,743 By Matching Biggest Common Factor Method

Greatest Common Factor of 420,286,743 By Matching Biggest Common Factor Method

Factors of 420

List of positive integer factors of 420 that divides 420 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420

Factors of 286

List of positive integer factors of 286 that divides 286 without a remainder.

1,2,11,13,22,26,143,286

Factors of 743

List of positive integer factors of 743 that divides 743 without a remainder.

1,743

Greatest Common Factor

We found the factors 420,286,743 . The biggest common factor number is the GCF number.
So the greatest common factor 420,286,743 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 25/420, 41/286, 633/743

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 25/420, 41/286, 633/743?

Answer: LCM of Numerators as per given numbers 25/420, 41/286, 633/743 is

LCM of Numerators i.e. for 25,41,633 is 648825

GCF of denominators i.e. for 420,286,743 is 1.

Thus, LCM of Fractions is 648825.Finally, LCM of Fractions for 25/420, 41/286, 633/743 is 648825.