Least Common Multiple of 9866/375, 9921/750

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9866/375, 9921/750 quickly i.e. 97880586/375 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9866/375, 9921/750 is 97880586/375.

LCM(9866/375, 9921/750) = 97880586/375

LCM of 9866/375, 9921/750

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 9866/375,9921/750

Given numbers are 9866/375,9921/750

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 9866,9921

Least Common Multiple of Numerators i.e. LCM of 9866,9921 is 97880586.

GCF of Denominators means GCF of 375,750 as per the given fractions.

GCF of 375,750 is 375 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9866,9921

LCM of Fractions 9866/375,9921/750 is 97880586/375

Given numbers has no common factors except 1. So, there LCM is their product i.e 97880586

Least Common Multiple of 9866,9921 with GCF Formula

Least Common Multiple of 9866,9921 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 9866,9921 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9866,9921) = 1

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

GCF(9866,9921) x common factors =1 x 1 = 1

LCM(9866,9921) = ( 9866 × 9921 ) / 1

LCM(9866,9921) = 97880586 / 1

LCM(9866,9921) = 97880586


Lets's calculate GCF of 375,750

3 375, 750
5 125, 250
5 25, 50
5 5, 10
1, 2

∴ So the GCF of the given numbers is 3 x 5 x 5 x 5 = 375

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 97880586/375

Therefore the LCM of Fractions 9866/375,9921/750 is 97880586/375

Greatest Common Factor of 375,750 By Matching Biggest Common Factor Method

Greatest Common Factor of 375,750 By Matching Biggest Common Factor Method

Factors of 375

List of positive integer factors of 375 that divides 375 without a remainder.

1,3,5,15,25,75,125,375

Factors of 750

List of positive integer factors of 750 that divides 750 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750

Greatest Common Factor

We found the factors 375,750 . The biggest common factor number is the GCF number.
So the greatest common factor 375,750 is 375.


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 9866/375, 9921/750

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 9866/375, 9921/750?

Answer: LCM of Numerators as per given numbers 9866/375, 9921/750 is

LCM of Numerators i.e. for 9866,9921 is 97880586

GCF of denominators i.e. for 375,750 is 375.

Thus, LCM of Fractions is 97880586/375.Finally, LCM of Fractions for 9866/375, 9921/750 is 97880586/375.