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 802, 736, 418, 864, 731

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


Find the LCM of 802, 736, 418, 864, 731 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 802, 736, 418, 864, 731. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 802,736,418,864,731

Given numbers are 802,736,418,864,731

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

The LCM of 802,736,418,864,731 is 1217445739488.

Find LCM of 802,736,418,864,731 with Prime Factorization


2 802, 736, 418, 864, 731
2 401, 368, 209, 432, 731
2 401, 184, 209, 216, 731
2 401, 92, 209, 108, 731
2 401, 46, 209, 54, 731
401, 23, 209, 27, 731

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

2 x 2 x 2 x 2 x 2 x 401 x 23 x 209 x 27 x 731 = 1217445739488

Therefore, the lowest common multiple of 802,736,418,864,731 is 1217445739488.

LCM Formula to Find Lowest Common Multiple of 802,736,418,864,731

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.

802 x 736 x 418 x 864 x 731 = 155833054654464

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.

802 : 1, 2, 401, 802

736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

418 : 1, 2, 11, 19, 22, 38, 209, 418

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 802,736,418,864,731, is 1.

Now, the common factors can be found like this.

802:2x 401

736:2x 2x 2x 2x 2x 23

418:2x 11x 19

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

731:17x 43

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 2x 2x 2 = 128

Therefore, the value for common factors is 128.

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 = 155833054654464/(1x128)

LCM = 155833054654464/128

LCM = 1217445739488

Thus, we can understand that the LCM of 802,736,418,864,731 is 1217445739488.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 802, 736, 418, 864, 731

1. What is the LCM of 802, 736, 418, 864, 731?

Answer: LCM of 802, 736, 418, 864, 731 is 1217445739488.

2. How to calculate the LCM of 802, 736, 418, 864, 731?

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 802, 736, 418, 864, 731.

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}.