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LCM of 418, 421, 952, 481, 920

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


Find the LCM of 418, 421, 952, 481, 920 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 418, 421, 952, 481, 920. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 418,421,952,481,920

Given numbers are 418,421,952,481,920

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

The LCM of 418,421,952,481,920 is 4633490181320.

Find LCM of 418,421,952,481,920 with Prime Factorization


2 418, 421, 952, 481, 920
2 209, 421, 476, 481, 460
2 209, 421, 238, 481, 230
209, 421, 119, 481, 115

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

2 x 2 x 2 x 209 x 421 x 119 x 481 x 115 = 4633490181320

Therefore, the lowest common multiple of 418,421,952,481,920 is 4633490181320.

LCM Formula to Find Lowest Common Multiple of 418,421,952,481,920

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.

418 x 421 x 952 x 481 x 920 = 74135842901120

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.

418 : 1, 2, 11, 19, 22, 38, 209, 418

421 : 1, 421

952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

481 : 1, 13, 37, 481

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 418,421,952,481,920, is 1.

Now, the common factors can be found like this.

418:2x 11x 19

421:421

952:2x 2x 2x 7x 17

481:13x 37

920:2x 2x 2x 5x 23

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 2x 2 = 16

Therefore, the value for common factors is 16.

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 = 74135842901120/(1x16)

LCM = 74135842901120/16

LCM = 4633490181320

Thus, we can understand that the LCM of 418,421,952,481,920 is 4633490181320.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 418, 421, 952, 481, 920

1. What is the LCM of 418, 421, 952, 481, 920?

Answer: LCM of 418, 421, 952, 481, 920 is 4633490181320.

2. How to calculate the LCM of 418, 421, 952, 481, 920?

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 418, 421, 952, 481, 920.

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}.