Least Common Multiple of 705/24, 499/298

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 705/24, 499/298 quickly i.e. 351795/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 705/24, 499/298 is 351795/2.

LCM(705/24, 499/298) = 351795/2

LCM of 705/24, 499/298

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 705/24,499/298

Given numbers are 705/24,499/298

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 705,499

Least Common Multiple of Numerators i.e. LCM of 705,499 is 351795.

GCF of Denominators means GCF of 24,298 as per the given fractions.

GCF of 24,298 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 705,499

LCM of Fractions 705/24,499/298 is 351795/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 351795

Least Common Multiple of 705,499 with GCF Formula

Least Common Multiple of 705,499 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 705,499 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(705,499) = 1

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

GCF(705,499) x common factors =1 x 1 = 1

LCM(705,499) = ( 705 × 499 ) / 1

LCM(705,499) = 351795 / 1

LCM(705,499) = 351795


Lets's calculate GCF of 24,298

2 24, 298
12, 149

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 351795/2

Therefore the LCM of Fractions 705/24,499/298 is 351795/2

Greatest Common Factor of 24,298 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,298 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 298

List of positive integer factors of 298 that divides 298 without a remainder.

1,2,149,298

Greatest Common Factor

We found the factors 24,298 . The biggest common factor number is the GCF number.
So the greatest common factor 24,298 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 705/24, 499/298

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 705/24, 499/298?

Answer: LCM of Numerators as per given numbers 705/24, 499/298 is

LCM of Numerators i.e. for 705,499 is 351795

GCF of denominators i.e. for 24,298 is 2.

Thus, LCM of Fractions is 351795/2.Finally, LCM of Fractions for 705/24, 499/298 is 351795/2.