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LCM of 812, 421, 401, 841, 479

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


Find the LCM of 812, 421, 401, 841, 479 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 812, 421, 401, 841, 479. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 812,421,401,841,479

Given numbers are 812,421,401,841,479

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

The LCM of 812,421,401,841,479 is 1904215118932.

Find LCM of 812,421,401,841,479 with Prime Factorization


29 812, 421, 401, 841, 479
28, 421, 401, 29, 479

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

29 x 28 x 421 x 401 x 29 x 479 = 1904215118932

Therefore, the lowest common multiple of 812,421,401,841,479 is 1904215118932.

LCM Formula to Find Lowest Common Multiple of 812,421,401,841,479

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.

812 x 421 x 401 x 841 x 479 = 55222238449028

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.

812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

421 : 1, 421

401 : 1, 401

841 : 1, 29, 841

479 : 1, 479

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 812,421,401,841,479, is 1.

Now, the common factors can be found like this.

812:2x 2x 7x 29

421:421

401:401

841:29x 29

479:479

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

29 = 29

Therefore, the value for common factors is 29.

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 = 55222238449028/(1x29)

LCM = 55222238449028/29

LCM = 1904215118932

Thus, we can understand that the LCM of 812,421,401,841,479 is 1904215118932.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 812, 421, 401, 841, 479

1. What is the LCM of 812, 421, 401, 841, 479?

Answer: LCM of 812, 421, 401, 841, 479 is 1904215118932.

2. How to calculate the LCM of 812, 421, 401, 841, 479?

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 812, 421, 401, 841, 479.

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}.