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 508, 732, 671, 802

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


Find the LCM of 508, 732, 671, 802 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 508, 732, 671, 802. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 508,732,671,802

Given numbers are 508,732,671,802

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

The LCM of 508,732,671,802 is 410064204.

Find LCM of 508,732,671,802 with Prime Factorization


2 508, 732, 671, 802
2 254, 366, 671, 401
61 127, 183, 671, 401
127, 3, 11, 401

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

2 x 2 x 61 x 127 x 3 x 11 x 401 = 410064204

Therefore, the lowest common multiple of 508,732,671,802 is 410064204.

LCM Formula to Find Lowest Common Multiple of 508,732,671,802

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.

508 x 732 x 671 x 802 = 200111331552

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.

508 : 1, 2, 4, 127, 254, 508

732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

671 : 1, 11, 61, 671

802 : 1, 2, 401, 802

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 508,732,671,802, is 1.

Now, the common factors can be found like this.

508:2x 2x 127

732:2x 2x 3x 61

671:11x 61

802:2x 401

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 61 = 488

Therefore, the value for common factors is 488.

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 = 200111331552/(1x488)

LCM = 200111331552/488

LCM = 410064204

Thus, we can understand that the LCM of 508,732,671,802 is 410064204.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 508, 732, 671, 802

1. What is the LCM of 508, 732, 671, 802?

Answer: LCM of 508, 732, 671, 802 is 410064204.

2. How to calculate the LCM of 508, 732, 671, 802?

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 508, 732, 671, 802.

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}.