Least Common Multiple of 9884/398, 7267/1502

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9884/398, 7267/1502 quickly i.e. 35913514 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9884/398, 7267/1502 is 35913514.

LCM(9884/398, 7267/1502) = 35913514

LCM of 9884/398, 7267/1502

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 9884/398,7267/1502

Given numbers are 9884/398,7267/1502

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 9884,7267

Least Common Multiple of Numerators i.e. LCM of 9884,7267 is 71827028.

GCF of Denominators means GCF of 398,1502 as per the given fractions.

GCF of 398,1502 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9884,7267

LCM of Fractions 9884/398,7267/1502 is 35913514

Given numbers has no common factors except 1. So, there LCM is their product i.e 71827028

Least Common Multiple of 9884,7267 with GCF Formula

Least Common Multiple of 9884,7267 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 9884,7267 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9884,7267) = 1

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

GCF(9884,7267) x common factors =1 x 1 = 1

LCM(9884,7267) = ( 9884 × 7267 ) / 1

LCM(9884,7267) = 71827028 / 1

LCM(9884,7267) = 71827028


Lets's calculate GCF of 398,1502

2 398, 1502
199, 751

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 71827028/2

Therefore the LCM of Fractions 9884/398,7267/1502 is 35913514

Greatest Common Factor of 398,1502 By Matching Biggest Common Factor Method

Greatest Common Factor of 398,1502 By Matching Biggest Common Factor Method

Factors of 398

List of positive integer factors of 398 that divides 398 without a remainder.

1,2,199,398

Factors of 1502

List of positive integer factors of 1502 that divides 1502 without a remainder.

1,2,751,1502

Greatest Common Factor

We found the factors 398,1502 . The biggest common factor number is the GCF number.
So the greatest common factor 398,1502 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 9884/398, 7267/1502

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 9884/398, 7267/1502?

Answer: LCM of Numerators as per given numbers 9884/398, 7267/1502 is

LCM of Numerators i.e. for 9884,7267 is 71827028

GCF of denominators i.e. for 398,1502 is 2.

Thus, LCM of Fractions is 35913514.Finally, LCM of Fractions for 9884/398, 7267/1502 is 35913514.