Least Common Multiple of 298/75, 987/8026

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 298/75, 987/8026 quickly i.e. 294126 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 298/75, 987/8026 is 294126.

LCM(298/75, 987/8026) = 294126

LCM of 298/75, 987/8026

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 298/75,987/8026

Given numbers are 298/75,987/8026

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 298,987

Least Common Multiple of Numerators i.e. LCM of 298,987 is 294126.

GCF of Denominators means GCF of 75,8026 as per the given fractions.

GCF of 75,8026 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 298,987

LCM of Fractions 298/75,987/8026 is 294126

Given numbers has no common factors except 1. So, there LCM is their product i.e 294126

Least Common Multiple of 298,987 with GCF Formula

Least Common Multiple of 298,987 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 298,987 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(298,987) = 1

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

GCF(298,987) x common factors =1 x 1 = 1

LCM(298,987) = ( 298 × 987 ) / 1

LCM(298,987) = 294126 / 1

LCM(298,987) = 294126


Lets's calculate GCF of 75,8026

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 294126/1

Therefore the LCM of Fractions 298/75,987/8026 is 294126

Greatest Common Factor of 75,8026 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,8026 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 8026

List of positive integer factors of 8026 that divides 8026 without a remainder.

1,2,4013,8026

Greatest Common Factor

We found the factors 75,8026 . The biggest common factor number is the GCF number.
So the greatest common factor 75,8026 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 298/75, 987/8026

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 298/75, 987/8026?

Answer: LCM of Numerators as per given numbers 298/75, 987/8026 is

LCM of Numerators i.e. for 298,987 is 294126

GCF of denominators i.e. for 75,8026 is 1.

Thus, LCM of Fractions is 294126.Finally, LCM of Fractions for 298/75, 987/8026 is 294126.