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LCM of 421, 792, 598, 376, 176

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


Find the LCM of 421, 792, 598, 376, 176 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 421, 792, 598, 376, 176. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 421,792,598,376,176

Given numbers are 421,792,598,376,176

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

The LCM of 421,792,598,376,176 is 9371439792.

Find LCM of 421,792,598,376,176 with Prime Factorization


2 421, 792, 598, 376, 176
2 421, 396, 299, 188, 88
2 421, 198, 299, 94, 44
11 421, 99, 299, 47, 22
421, 9, 299, 47, 2

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

2 x 2 x 2 x 11 x 421 x 9 x 299 x 47 x 2 = 9371439792

Therefore, the lowest common multiple of 421,792,598,376,176 is 9371439792.

LCM Formula to Find Lowest Common Multiple of 421,792,598,376,176

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.

421 x 792 x 598 x 376 x 176 = 13194987227136

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.

421 : 1, 421

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

598 : 1, 2, 13, 23, 26, 46, 299, 598

376 : 1, 2, 4, 8, 47, 94, 188, 376

176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 421,792,598,376,176, is 1.

Now, the common factors can be found like this.

421:421

792:2x 2x 2x 3x 3x 11

598:2x 13x 23

376:2x 2x 2x 47

176:2x 2x 2x 2x 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 2x 2x 2x 2x 2x 11 = 1408

Therefore, the value for common factors is 1408.

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 = 13194987227136/(1x1408)

LCM = 13194987227136/1408

LCM = 9371439792

Thus, we can understand that the LCM of 421,792,598,376,176 is 9371439792.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 421, 792, 598, 376, 176

1. What is the LCM of 421, 792, 598, 376, 176?

Answer: LCM of 421, 792, 598, 376, 176 is 9371439792.

2. How to calculate the LCM of 421, 792, 598, 376, 176?

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 421, 792, 598, 376, 176.

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}.