Least Common Multiple of 4295/726, 9936/4046

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4295/726, 9936/4046 quickly i.e. 21337560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4295/726, 9936/4046 is 21337560.

LCM(4295/726, 9936/4046) = 21337560

LCM of 4295/726, 9936/4046

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 4295/726,9936/4046

Given numbers are 4295/726,9936/4046

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 4295,9936

Least Common Multiple of Numerators i.e. LCM of 4295,9936 is 42675120.

GCF of Denominators means GCF of 726,4046 as per the given fractions.

GCF of 726,4046 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4295,9936

LCM of Fractions 4295/726,9936/4046 is 21337560

Given numbers has no common factors except 1. So, there LCM is their product i.e 42675120

Least Common Multiple of 4295,9936 with GCF Formula

Least Common Multiple of 4295,9936 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 4295,9936 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4295,9936) = 1

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

GCF(4295,9936) x common factors =1 x 1 = 1

LCM(4295,9936) = ( 4295 × 9936 ) / 1

LCM(4295,9936) = 42675120 / 1

LCM(4295,9936) = 42675120


Lets's calculate GCF of 726,4046

2 726, 4046
363, 2023

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42675120/2

Therefore the LCM of Fractions 4295/726,9936/4046 is 21337560

Greatest Common Factor of 726,4046 By Matching Biggest Common Factor Method

Greatest Common Factor of 726,4046 By Matching Biggest Common Factor Method

Factors of 726

List of positive integer factors of 726 that divides 726 without a remainder.

1,2,3,6,11,22,33,66,121,242,363,726

Factors of 4046

List of positive integer factors of 4046 that divides 4046 without a remainder.

1,2,7,14,17,34,119,238,289,578,2023,4046

Greatest Common Factor

We found the factors 726,4046 . The biggest common factor number is the GCF number.
So the greatest common factor 726,4046 is 2.


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 4295/726, 9936/4046

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 4295/726, 9936/4046?

Answer: LCM of Numerators as per given numbers 4295/726, 9936/4046 is

LCM of Numerators i.e. for 4295,9936 is 42675120

GCF of denominators i.e. for 726,4046 is 2.

Thus, LCM of Fractions is 21337560.Finally, LCM of Fractions for 4295/726, 9936/4046 is 21337560.