Least Common Multiple of 298/68, 697/4875

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 298/68, 697/4875 quickly i.e. 207706 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 298/68, 697/4875 is 207706.

LCM(298/68, 697/4875) = 207706

LCM of 298/68, 697/4875

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 298/68,697/4875

Given numbers are 298/68,697/4875

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 298,697

Least Common Multiple of Numerators i.e. LCM of 298,697 is 207706.

GCF of Denominators means GCF of 68,4875 as per the given fractions.

GCF of 68,4875 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 298,697

LCM of Fractions 298/68,697/4875 is 207706

Given numbers has no common factors except 1. So, there LCM is their product i.e 207706

Least Common Multiple of 298,697 with GCF Formula

Least Common Multiple of 298,697 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 298,697 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(298,697) = 1

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

GCF(298,697) x common factors =1 x 1 = 1

LCM(298,697) = ( 298 × 697 ) / 1

LCM(298,697) = 207706 / 1

LCM(298,697) = 207706


Lets's calculate GCF of 68,4875

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 207706/1

Therefore the LCM of Fractions 298/68,697/4875 is 207706

Greatest Common Factor of 68,4875 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,4875 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 4875

List of positive integer factors of 4875 that divides 4875 without a remainder.

1,3,5,13,15,25,39,65,75,125,195,325,375,975,1625,4875

Greatest Common Factor

We found the factors 68,4875 . The biggest common factor number is the GCF number.
So the greatest common factor 68,4875 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 298/68, 697/4875

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 298/68, 697/4875?

Answer: LCM of Numerators as per given numbers 298/68, 697/4875 is

LCM of Numerators i.e. for 298,697 is 207706

GCF of denominators i.e. for 68,4875 is 1.

Thus, LCM of Fractions is 207706.Finally, LCM of Fractions for 298/68, 697/4875 is 207706.