Least Common Multiple of 1509/234, 1649/295

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1509/234, 1649/295 quickly i.e. 2488341 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1509/234, 1649/295 is 2488341.

LCM(1509/234, 1649/295) = 2488341

LCM of 1509/234, 1649/295

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 1509/234,1649/295

Given numbers are 1509/234,1649/295

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 1509,1649

Least Common Multiple of Numerators i.e. LCM of 1509,1649 is 2488341.

GCF of Denominators means GCF of 234,295 as per the given fractions.

GCF of 234,295 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1509,1649

LCM of Fractions 1509/234,1649/295 is 2488341

Given numbers has no common factors except 1. So, there LCM is their product i.e 2488341

Least Common Multiple of 1509,1649 with GCF Formula

Least Common Multiple of 1509,1649 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 1509,1649 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1509,1649) = 1

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

GCF(1509,1649) x common factors =1 x 1 = 1

LCM(1509,1649) = ( 1509 × 1649 ) / 1

LCM(1509,1649) = 2488341 / 1

LCM(1509,1649) = 2488341


Lets's calculate GCF of 234,295

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2488341/1

Therefore the LCM of Fractions 1509/234,1649/295 is 2488341

Greatest Common Factor of 234,295 By Matching Biggest Common Factor Method

Greatest Common Factor of 234,295 By Matching Biggest Common Factor Method

Factors of 234

List of positive integer factors of 234 that divides 234 without a remainder.

1,2,3,6,9,13,18,26,39,78,117,234

Factors of 295

List of positive integer factors of 295 that divides 295 without a remainder.

1,5,59,295

Greatest Common Factor

We found the factors 234,295 . The biggest common factor number is the GCF number.
So the greatest common factor 234,295 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 1509/234, 1649/295

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 1509/234, 1649/295?

Answer: LCM of Numerators as per given numbers 1509/234, 1649/295 is

LCM of Numerators i.e. for 1509,1649 is 2488341

GCF of denominators i.e. for 234,295 is 1.

Thus, LCM of Fractions is 2488341.Finally, LCM of Fractions for 1509/234, 1649/295 is 2488341.