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 864, 731, 924, 851, 412

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


Find the LCM of 864, 731, 924, 851, 412 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 864, 731, 924, 851, 412. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 864,731,924,851,412

Given numbers are 864,731,924,851,412

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

The LCM of 864,731,924,851,412 is 4262737891104.

Find LCM of 864,731,924,851,412 with Prime Factorization


2 864, 731, 924, 851, 412
2 432, 731, 462, 851, 206
3 216, 731, 231, 851, 103
72, 731, 77, 851, 103

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

2 x 2 x 3 x 72 x 731 x 77 x 851 x 103 = 4262737891104

Therefore, the lowest common multiple of 864,731,924,851,412 is 4262737891104.

LCM Formula to Find Lowest Common Multiple of 864,731,924,851,412

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.

864 x 731 x 924 x 851 x 412 = 204611418772992

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.

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

731 : 1, 17, 43, 731

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

851 : 1, 23, 37, 851

412 : 1, 2, 4, 103, 206, 412

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 864,731,924,851,412, is 1.

Now, the common factors can be found like this.

864:2x 2x 2x 2x 2x 3x 3x 3

731:17x 43

924:2x 2x 3x 7x 11

851:23x 37

412:2x 2x 103

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 2x 3 = 48

Therefore, the value for common factors is 48.

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 = 204611418772992/(1x48)

LCM = 204611418772992/48

LCM = 4262737891104

Thus, we can understand that the LCM of 864,731,924,851,412 is 4262737891104.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 864, 731, 924, 851, 412

1. What is the LCM of 864, 731, 924, 851, 412?

Answer: LCM of 864, 731, 924, 851, 412 is 4262737891104.

2. How to calculate the LCM of 864, 731, 924, 851, 412?

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 864, 731, 924, 851, 412.

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}.