Least Common Multiple of 301/64, 298/874

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 301/64, 298/874 quickly i.e. 44849 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 301/64, 298/874 is 44849.

LCM(301/64, 298/874) = 44849

LCM of 301/64, 298/874

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 301/64,298/874

Given numbers are 301/64,298/874

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 301,298

Least Common Multiple of Numerators i.e. LCM of 301,298 is 89698.

GCF of Denominators means GCF of 64,874 as per the given fractions.

GCF of 64,874 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 301,298

LCM of Fractions 301/64,298/874 is 44849

Given numbers has no common factors except 1. So, there LCM is their product i.e 89698

Least Common Multiple of 301,298 with GCF Formula

Least Common Multiple of 301,298 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 301,298 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(301,298) = 1

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

GCF(301,298) x common factors =1 x 1 = 1

LCM(301,298) = ( 301 × 298 ) / 1

LCM(301,298) = 89698 / 1

LCM(301,298) = 89698


Lets's calculate GCF of 64,874

2 64, 874
32, 437

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 89698/2

Therefore the LCM of Fractions 301/64,298/874 is 44849

Greatest Common Factor of 64,874 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,874 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 874

List of positive integer factors of 874 that divides 874 without a remainder.

1,2,19,23,38,46,437,874

Greatest Common Factor

We found the factors 64,874 . The biggest common factor number is the GCF number.
So the greatest common factor 64,874 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 301/64, 298/874

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 301/64, 298/874?

Answer: LCM of Numerators as per given numbers 301/64, 298/874 is

LCM of Numerators i.e. for 301,298 is 89698

GCF of denominators i.e. for 64,874 is 2.

Thus, LCM of Fractions is 44849.Finally, LCM of Fractions for 301/64, 298/874 is 44849.