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LCM of 441, 509, 551, 812

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


Find the LCM of 441, 509, 551, 812 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 441, 509, 551, 812. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 441,509,551,812

Given numbers are 441,509,551,812

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

The LCM of 441,509,551,812 is 494729676.

Find LCM of 441,509,551,812 with Prime Factorization


7 441, 509, 551, 812
29 63, 509, 551, 116
63, 509, 19, 4

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

7 x 29 x 63 x 509 x 19 x 4 = 494729676

Therefore, the lowest common multiple of 441,509,551,812 is 494729676.

LCM Formula to Find Lowest Common Multiple of 441,509,551,812

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.

441 x 509 x 551 x 812 = 100430124228

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.

441 : 1, 3, 7, 9, 21, 49, 63, 147, 441

509 : 1, 509

551 : 1, 19, 29, 551

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 441,509,551,812, is 1.

Now, the common factors can be found like this.

441:3x 3x 7x 7

509:509

551:19x 29

812:2x 2x 7x 29

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

7x 29 = 203

Therefore, the value for common factors is 203.

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 = 100430124228/(1x203)

LCM = 100430124228/203

LCM = 494729676

Thus, we can understand that the LCM of 441,509,551,812 is 494729676.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 441, 509, 551, 812

1. What is the LCM of 441, 509, 551, 812?

Answer: LCM of 441, 509, 551, 812 is 494729676.

2. How to calculate the LCM of 441, 509, 551, 812?

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 441, 509, 551, 812.

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}.