Least Common Multiple of 1583/697, 9123/3440

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1583/697, 9123/3440 quickly i.e. 14441709 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1583/697, 9123/3440 is 14441709.

LCM(1583/697, 9123/3440) = 14441709

LCM of 1583/697, 9123/3440

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 1583/697,9123/3440

Given numbers are 1583/697,9123/3440

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 1583,9123

Least Common Multiple of Numerators i.e. LCM of 1583,9123 is 14441709.

GCF of Denominators means GCF of 697,3440 as per the given fractions.

GCF of 697,3440 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1583,9123

LCM of Fractions 1583/697,9123/3440 is 14441709

Given numbers has no common factors except 1. So, there LCM is their product i.e 14441709

Least Common Multiple of 1583,9123 with GCF Formula

Least Common Multiple of 1583,9123 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 1583,9123 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1583,9123) = 1

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

GCF(1583,9123) x common factors =1 x 1 = 1

LCM(1583,9123) = ( 1583 × 9123 ) / 1

LCM(1583,9123) = 14441709 / 1

LCM(1583,9123) = 14441709


Lets's calculate GCF of 697,3440

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14441709/1

Therefore the LCM of Fractions 1583/697,9123/3440 is 14441709

Greatest Common Factor of 697,3440 By Matching Biggest Common Factor Method

Greatest Common Factor of 697,3440 By Matching Biggest Common Factor Method

Factors of 697

List of positive integer factors of 697 that divides 697 without a remainder.

1,17,41,697

Factors of 3440

List of positive integer factors of 3440 that divides 3440 without a remainder.

1,2,4,5,8,10,16,20,40,43,80,86,172,215,344,430,688,860,1720,3440

Greatest Common Factor

We found the factors 697,3440 . The biggest common factor number is the GCF number.
So the greatest common factor 697,3440 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 1583/697, 9123/3440

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 1583/697, 9123/3440?

Answer: LCM of Numerators as per given numbers 1583/697, 9123/3440 is

LCM of Numerators i.e. for 1583,9123 is 14441709

GCF of denominators i.e. for 697,3440 is 1.

Thus, LCM of Fractions is 14441709.Finally, LCM of Fractions for 1583/697, 9123/3440 is 14441709.