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 463, 710, 814, 851, 502

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


Find the LCM of 463, 710, 814, 851, 502 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 463, 710, 814, 851, 502. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 463,710,814,851,502

Given numbers are 463,710,814,851,502

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

The LCM of 463,710,814,851,502 is 772387624030.

Find LCM of 463,710,814,851,502 with Prime Factorization


2 463, 710, 814, 851, 502
37 463, 355, 407, 851, 251
463, 355, 11, 23, 251

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

2 x 37 x 463 x 355 x 11 x 23 x 251 = 772387624030

Therefore, the lowest common multiple of 463,710,814,851,502 is 772387624030.

LCM Formula to Find Lowest Common Multiple of 463,710,814,851,502

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.

463 x 710 x 814 x 851 x 502 = 114313368356440

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.

463 : 1, 463

710 : 1, 2, 5, 10, 71, 142, 355, 710

814 : 1, 2, 11, 22, 37, 74, 407, 814

851 : 1, 23, 37, 851

502 : 1, 2, 251, 502

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 463,710,814,851,502, is 1.

Now, the common factors can be found like this.

463:463

710:2x 5x 71

814:2x 11x 37

851:23x 37

502:2x 251

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 37 = 148

Therefore, the value for common factors is 148.

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 = 114313368356440/(1x148)

LCM = 114313368356440/148

LCM = 772387624030

Thus, we can understand that the LCM of 463,710,814,851,502 is 772387624030.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 463, 710, 814, 851, 502

1. What is the LCM of 463, 710, 814, 851, 502?

Answer: LCM of 463, 710, 814, 851, 502 is 772387624030.

2. How to calculate the LCM of 463, 710, 814, 851, 502?

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 463, 710, 814, 851, 502.

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}.