Least Common Multiple of 4017/975, 9964/2928

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4017/975, 9964/2928 quickly i.e. 13341796 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4017/975, 9964/2928 is 13341796.

LCM(4017/975, 9964/2928) = 13341796

LCM of 4017/975, 9964/2928

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 4017/975,9964/2928

Given numbers are 4017/975,9964/2928

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 4017,9964

Least Common Multiple of Numerators i.e. LCM of 4017,9964 is 40025388.

GCF of Denominators means GCF of 975,2928 as per the given fractions.

GCF of 975,2928 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4017,9964

LCM of Fractions 4017/975,9964/2928 is 13341796

Given numbers has no common factors except 1. So, there LCM is their product i.e 40025388

Least Common Multiple of 4017,9964 with GCF Formula

Least Common Multiple of 4017,9964 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 4017,9964 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4017,9964) = 1

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

GCF(4017,9964) x common factors =1 x 1 = 1

LCM(4017,9964) = ( 4017 × 9964 ) / 1

LCM(4017,9964) = 40025388 / 1

LCM(4017,9964) = 40025388


Lets's calculate GCF of 975,2928

3 975, 2928
325, 976

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40025388/3

Therefore the LCM of Fractions 4017/975,9964/2928 is 13341796

Greatest Common Factor of 975,2928 By Matching Biggest Common Factor Method

Greatest Common Factor of 975,2928 By Matching Biggest Common Factor Method

Factors of 975

List of positive integer factors of 975 that divides 975 without a remainder.

1,3,5,13,15,25,39,65,75,195,325,975

Factors of 2928

List of positive integer factors of 2928 that divides 2928 without a remainder.

1,2,3,4,6,8,12,16,24,48,61,122,183,244,366,488,732,976,1464,2928

Greatest Common Factor

We found the factors 975,2928 . The biggest common factor number is the GCF number.
So the greatest common factor 975,2928 is 3.


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 4017/975, 9964/2928

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 4017/975, 9964/2928?

Answer: LCM of Numerators as per given numbers 4017/975, 9964/2928 is

LCM of Numerators i.e. for 4017,9964 is 40025388

GCF of denominators i.e. for 975,2928 is 3.

Thus, LCM of Fractions is 13341796.Finally, LCM of Fractions for 4017/975, 9964/2928 is 13341796.