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LCM of 812, 551, 403, 221, 924

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


Find the LCM of 812, 551, 403, 221, 924 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, 551, 403, 221, 924. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 812,551,403,221,924

Given numbers are 812,551,403,221,924

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

The LCM of 812,551,403,221,924 is 3488008524.

Find LCM of 812,551,403,221,924 with Prime Factorization


2 812, 551, 403, 221, 924
2 406, 551, 403, 221, 462
7 203, 551, 403, 221, 231
13 29, 551, 403, 221, 33
29 29, 551, 31, 17, 33
1, 19, 31, 17, 33

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

2 x 2 x 7 x 13 x 29 x 1 x 19 x 31 x 17 x 33 = 3488008524

Therefore, the lowest common multiple of 812,551,403,221,924 is 3488008524.

LCM Formula to Find Lowest Common Multiple of 812,551,403,221,924

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 551 x 403 x 221 x 924 = 36819417979344

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

551 : 1, 19, 29, 551

403 : 1, 13, 31, 403

221 : 1, 13, 17, 221

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 812,551,403,221,924, is 1.

Now, the common factors can be found like this.

812:2x 2x 7x 29

551:19x 29

403:13x 31

221:13x 17

924:2x 2x 3x 7x 11

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 7x 13x 29 = 10556

Therefore, the value for common factors is 10556.

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 = 36819417979344/(1x10556)

LCM = 36819417979344/10556

LCM = 3488008524

Thus, we can understand that the LCM of 812,551,403,221,924 is 3488008524.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 812, 551, 403, 221, 924

1. What is the LCM of 812, 551, 403, 221, 924?

Answer: LCM of 812, 551, 403, 221, 924 is 3488008524.

2. How to calculate the LCM of 812, 551, 403, 221, 924?

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, 551, 403, 221, 924.

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}.