LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 474, 660, 951, 366, 990

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 474, 660, 951, 366, 990 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 474, 660, 951, 366, 990. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 474,660,951,366,990

Given numbers are 474,660,951,366,990

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 474,660,951,366,990 is 3024693540.

Find LCM of 474,660,951,366,990 with Prime Factorization


2 474, 660, 951, 366, 990
3 237, 330, 951, 183, 495
5 79, 110, 317, 61, 165
11 79, 22, 317, 61, 33
79, 2, 317, 61, 3

Multiply the prime numbers at the bottom and the left side.

2 x 3 x 5 x 11 x 79 x 2 x 317 x 61 x 3 = 3024693540

Therefore, the lowest common multiple of 474,660,951,366,990 is 3024693540.

LCM Formula to Find Lowest Common Multiple of 474,660,951,366,990

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

474 x 660 x 951 x 366 x 990 = 107800077765600

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

474 : 1, 2, 3, 6, 79, 158, 237, 474

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

951 : 1, 3, 317, 951

366 : 1, 2, 3, 6, 61, 122, 183, 366

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

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 474,660,951,366,990, is 3.

Now, the common factors can be found like this.

474:2x 3x 79

660:2x 2x 3x 5x 11

951:3x 317

366:2x 3x 61

990:2x 3x 3x 5x 11

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 3x 3x 3x 5x 11 = 11880

Therefore, the value for common factors is 11880.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 107800077765600/(3x11880)

LCM = 107800077765600/35640

LCM = 3024693540

Thus, we can understand that the LCM of 474,660,951,366,990 is 3024693540.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 474, 660, 951, 366, 990

1. What is the LCM of 474, 660, 951, 366, 990?

Answer: LCM of 474, 660, 951, 366, 990 is 3024693540.

2. How to calculate the LCM of 474, 660, 951, 366, 990?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 474, 660, 951, 366, 990.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.