Least Common Multiple of 4750/990, 6144/753

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4750/990, 6144/753 quickly i.e. 4864000 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4750/990, 6144/753 is 4864000.

LCM(4750/990, 6144/753) = 4864000

LCM of 4750/990, 6144/753

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 4750/990,6144/753

Given numbers are 4750/990,6144/753

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 4750,6144

Least Common Multiple of Numerators i.e. LCM of 4750,6144 is 14592000.

GCF of Denominators means GCF of 990,753 as per the given fractions.

GCF of 990,753 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4750,6144

LCM of Fractions 4750/990,6144/753 is 4864000

2 4750, 6144
2375, 3072

∴ So the LCM of the given numbers is 2 x 2375 x 3072 = 14592000

Least Common Multiple of 4750,6144 with GCF Formula

Least Common Multiple of 4750,6144 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 4750,6144 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4750,6144) = 2

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

GCF(4750,6144) x common factors =2 x 1 = 2

LCM(4750,6144) = ( 4750 × 6144 ) / 2

LCM(4750,6144) = 29184000 / 2

LCM(4750,6144) = 14592000


Lets's calculate GCF of 990,753

3 990, 753
330, 251

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14592000/3

Therefore the LCM of Fractions 4750/990,6144/753 is 4864000

Greatest Common Factor of 990,753 By Matching Biggest Common Factor Method

Greatest Common Factor of 990,753 By Matching Biggest Common Factor Method

Factors of 990

List of positive integer factors of 990 that divides 990 without a remainder.

1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990

Factors of 753

List of positive integer factors of 753 that divides 753 without a remainder.

1,3,251,753

Greatest Common Factor

We found the factors 990,753 . The biggest common factor number is the GCF number.
So the greatest common factor 990,753 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 4750/990, 6144/753

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 4750/990, 6144/753?

Answer: LCM of Numerators as per given numbers 4750/990, 6144/753 is

LCM of Numerators i.e. for 4750,6144 is 14592000

GCF of denominators i.e. for 990,753 is 3.

Thus, LCM of Fractions is 4864000.Finally, LCM of Fractions for 4750/990, 6144/753 is 4864000.