Least Common Multiple of 215/600, 9298/254

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 215/600, 9298/254 quickly i.e. 999535 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 215/600, 9298/254 is 999535.

LCM(215/600, 9298/254) = 999535

LCM of 215/600, 9298/254

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 215/600,9298/254

Given numbers are 215/600,9298/254

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 215,9298

Least Common Multiple of Numerators i.e. LCM of 215,9298 is 1999070.

GCF of Denominators means GCF of 600,254 as per the given fractions.

GCF of 600,254 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 215,9298

LCM of Fractions 215/600,9298/254 is 999535

Given numbers has no common factors except 1. So, there LCM is their product i.e 1999070

Least Common Multiple of 215,9298 with GCF Formula

Least Common Multiple of 215,9298 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 215,9298 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(215,9298) = 1

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

GCF(215,9298) x common factors =1 x 1 = 1

LCM(215,9298) = ( 215 × 9298 ) / 1

LCM(215,9298) = 1999070 / 1

LCM(215,9298) = 1999070


Lets's calculate GCF of 600,254

2 600, 254
300, 127

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1999070/2

Therefore the LCM of Fractions 215/600,9298/254 is 999535

Greatest Common Factor of 600,254 By Matching Biggest Common Factor Method

Greatest Common Factor of 600,254 By Matching Biggest Common Factor Method

Factors of 600

List of positive integer factors of 600 that divides 600 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600

Factors of 254

List of positive integer factors of 254 that divides 254 without a remainder.

1,2,127,254

Greatest Common Factor

We found the factors 600,254 . The biggest common factor number is the GCF number.
So the greatest common factor 600,254 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 215/600, 9298/254

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 215/600, 9298/254?

Answer: LCM of Numerators as per given numbers 215/600, 9298/254 is

LCM of Numerators i.e. for 215,9298 is 1999070

GCF of denominators i.e. for 600,254 is 2.

Thus, LCM of Fractions is 999535.Finally, LCM of Fractions for 215/600, 9298/254 is 999535.