Least Common Multiple of 8750/998, 2249/7320

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8750/998, 2249/7320 quickly i.e. 9839375 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8750/998, 2249/7320 is 9839375.

LCM(8750/998, 2249/7320) = 9839375

LCM of 8750/998, 2249/7320

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 8750/998,2249/7320

Given numbers are 8750/998,2249/7320

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 8750,2249

Least Common Multiple of Numerators i.e. LCM of 8750,2249 is 19678750.

GCF of Denominators means GCF of 998,7320 as per the given fractions.

GCF of 998,7320 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8750,2249

LCM of Fractions 8750/998,2249/7320 is 9839375

Given numbers has no common factors except 1. So, there LCM is their product i.e 19678750

Least Common Multiple of 8750,2249 with GCF Formula

Least Common Multiple of 8750,2249 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 8750,2249 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8750,2249) = 1

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

GCF(8750,2249) x common factors =1 x 1 = 1

LCM(8750,2249) = ( 8750 × 2249 ) / 1

LCM(8750,2249) = 19678750 / 1

LCM(8750,2249) = 19678750


Lets's calculate GCF of 998,7320

2 998, 7320
499, 3660

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19678750/2

Therefore the LCM of Fractions 8750/998,2249/7320 is 9839375

Greatest Common Factor of 998,7320 By Matching Biggest Common Factor Method

Greatest Common Factor of 998,7320 By Matching Biggest Common Factor Method

Factors of 998

List of positive integer factors of 998 that divides 998 without a remainder.

1,2,499,998

Factors of 7320

List of positive integer factors of 7320 that divides 7320 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,61,120,122,183,244,305,366,488,610,732,915,1220,1464,1830,2440,3660,7320

Greatest Common Factor

We found the factors 998,7320 . The biggest common factor number is the GCF number.
So the greatest common factor 998,7320 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 8750/998, 2249/7320

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 8750/998, 2249/7320?

Answer: LCM of Numerators as per given numbers 8750/998, 2249/7320 is

LCM of Numerators i.e. for 8750,2249 is 19678750

GCF of denominators i.e. for 998,7320 is 2.

Thus, LCM of Fractions is 9839375.Finally, LCM of Fractions for 8750/998, 2249/7320 is 9839375.