Least Common Multiple of 1440/115, 3469/851

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1440/115, 3469/851 quickly i.e. 4995360/23 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1440/115, 3469/851 is 4995360/23.

LCM(1440/115, 3469/851) = 4995360/23

LCM of 1440/115, 3469/851

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 1440/115,3469/851

Given numbers are 1440/115,3469/851

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 1440,3469

Least Common Multiple of Numerators i.e. LCM of 1440,3469 is 4995360.

GCF of Denominators means GCF of 115,851 as per the given fractions.

GCF of 115,851 is 23 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1440,3469

LCM of Fractions 1440/115,3469/851 is 4995360/23

Given numbers has no common factors except 1. So, there LCM is their product i.e 4995360

Least Common Multiple of 1440,3469 with GCF Formula

Least Common Multiple of 1440,3469 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 1440,3469 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1440,3469) = 1

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

GCF(1440,3469) x common factors =1 x 1 = 1

LCM(1440,3469) = ( 1440 × 3469 ) / 1

LCM(1440,3469) = 4995360 / 1

LCM(1440,3469) = 4995360


Lets's calculate GCF of 115,851

23 115, 851
5, 37

∴ So the GCF of the given numbers is 23 = 23

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4995360/23

Therefore the LCM of Fractions 1440/115,3469/851 is 4995360/23

Greatest Common Factor of 115,851 By Matching Biggest Common Factor Method

Greatest Common Factor of 115,851 By Matching Biggest Common Factor Method

Factors of 115

List of positive integer factors of 115 that divides 115 without a remainder.

1,5,23,115

Factors of 851

List of positive integer factors of 851 that divides 851 without a remainder.

1,23,37,851

Greatest Common Factor

We found the factors 115,851 . The biggest common factor number is the GCF number.
So the greatest common factor 115,851 is 23.


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 1440/115, 3469/851

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 1440/115, 3469/851?

Answer: LCM of Numerators as per given numbers 1440/115, 3469/851 is

LCM of Numerators i.e. for 1440,3469 is 4995360

GCF of denominators i.e. for 115,851 is 23.

Thus, LCM of Fractions is 4995360/23.Finally, LCM of Fractions for 1440/115, 3469/851 is 4995360/23.