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LCM of 893, 551, 407, 406

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


Find the LCM of 893, 551, 407, 406 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 893, 551, 407, 406. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 893,551,407,406

Given numbers are 893,551,407,406

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

The LCM of 893,551,407,406 is 147561106.

Find LCM of 893,551,407,406 with Prime Factorization


19 893, 551, 407, 406
29 47, 29, 407, 406
47, 1, 407, 14

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

19 x 29 x 47 x 1 x 407 x 14 = 147561106

Therefore, the lowest common multiple of 893,551,407,406 is 147561106.

LCM Formula to Find Lowest Common Multiple of 893,551,407,406

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.

893 x 551 x 407 x 406 = 81306169406

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.

893 : 1, 19, 47, 893

551 : 1, 19, 29, 551

407 : 1, 11, 37, 407

406 : 1, 2, 7, 14, 29, 58, 203, 406

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 893,551,407,406, is 1.

Now, the common factors can be found like this.

893:19x 47

551:19x 29

407:11x 37

406:2x 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.

19x 29 = 551

Therefore, the value for common factors is 551.

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 = 81306169406/(1x551)

LCM = 81306169406/551

LCM = 147561106

Thus, we can understand that the LCM of 893,551,407,406 is 147561106.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 893, 551, 407, 406

1. What is the LCM of 893, 551, 407, 406?

Answer: LCM of 893, 551, 407, 406 is 147561106.

2. How to calculate the LCM of 893, 551, 407, 406?

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 893, 551, 407, 406.

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}.