Least Common Multiple of 1623/897, 1546/598

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1623/897, 1546/598 quickly i.e. 2509158/299 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1623/897, 1546/598 is 2509158/299.

LCM(1623/897, 1546/598) = 2509158/299

LCM of 1623/897, 1546/598

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 1623/897,1546/598

Given numbers are 1623/897,1546/598

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 1623,1546

Least Common Multiple of Numerators i.e. LCM of 1623,1546 is 2509158.

GCF of Denominators means GCF of 897,598 as per the given fractions.

GCF of 897,598 is 299 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1623,1546

LCM of Fractions 1623/897,1546/598 is 2509158/299

Given numbers has no common factors except 1. So, there LCM is their product i.e 2509158

Least Common Multiple of 1623,1546 with GCF Formula

Least Common Multiple of 1623,1546 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 1623,1546 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1623,1546) = 1

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

GCF(1623,1546) x common factors =1 x 1 = 1

LCM(1623,1546) = ( 1623 × 1546 ) / 1

LCM(1623,1546) = 2509158 / 1

LCM(1623,1546) = 2509158


Lets's calculate GCF of 897,598

13 897, 598
23 69, 46
3, 2

∴ So the GCF of the given numbers is 13 x 23 = 299

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2509158/299

Therefore the LCM of Fractions 1623/897,1546/598 is 2509158/299

Greatest Common Factor of 897,598 By Matching Biggest Common Factor Method

Greatest Common Factor of 897,598 By Matching Biggest Common Factor Method

Factors of 897

List of positive integer factors of 897 that divides 897 without a remainder.

1,3,13,23,39,69,299,897

Factors of 598

List of positive integer factors of 598 that divides 598 without a remainder.

1,2,13,23,26,46,299,598

Greatest Common Factor

We found the factors 897,598 . The biggest common factor number is the GCF number.
So the greatest common factor 897,598 is 299.


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 1623/897, 1546/598

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 1623/897, 1546/598?

Answer: LCM of Numerators as per given numbers 1623/897, 1546/598 is

LCM of Numerators i.e. for 1623,1546 is 2509158

GCF of denominators i.e. for 897,598 is 299.

Thus, LCM of Fractions is 2509158/299.Finally, LCM of Fractions for 1623/897, 1546/598 is 2509158/299.