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 362, 869, 272, 155, 759

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


Find the LCM of 362, 869, 272, 155, 759 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 362, 869, 272, 155, 759. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 362,869,272,155,759

Given numbers are 362,869,272,155,759

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

The LCM of 362,869,272,155,759 is 457559992560.

Find LCM of 362,869,272,155,759 with Prime Factorization


2 362, 869, 272, 155, 759
11 181, 869, 136, 155, 759
181, 79, 136, 155, 69

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

2 x 11 x 181 x 79 x 136 x 155 x 69 = 457559992560

Therefore, the lowest common multiple of 362,869,272,155,759 is 457559992560.

LCM Formula to Find Lowest Common Multiple of 362,869,272,155,759

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.

362 x 869 x 272 x 155 x 759 = 10066319836320

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.

362 : 1, 2, 181, 362

869 : 1, 11, 79, 869

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

155 : 1, 5, 31, 155

759 : 1, 3, 11, 23, 33, 69, 253, 759

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 362,869,272,155,759, is 1.

Now, the common factors can be found like this.

362:2x 181

869:11x 79

272:2x 2x 2x 2x 17

155:5x 31

759:3x 11x 23

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

2x 11 = 22

Therefore, the value for common factors is 22.

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 = 10066319836320/(1x22)

LCM = 10066319836320/22

LCM = 457559992560

Thus, we can understand that the LCM of 362,869,272,155,759 is 457559992560.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 362, 869, 272, 155, 759

1. What is the LCM of 362, 869, 272, 155, 759?

Answer: LCM of 362, 869, 272, 155, 759 is 457559992560.

2. How to calculate the LCM of 362, 869, 272, 155, 759?

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 362, 869, 272, 155, 759.

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}.