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LCM of 361, 551, 770, 551, 336

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


Find the LCM of 361, 551, 770, 551, 336 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 361, 551, 770, 551, 336. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 361,551,770,551,336

Given numbers are 361,551,770,551,336

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

The LCM of 361,551,770,551,336 is 193467120.

Find LCM of 361,551,770,551,336 with Prime Factorization


2 361, 551, 770, 551, 336
7 361, 551, 385, 551, 168
19 361, 551, 55, 551, 24
29 19, 29, 55, 29, 24
19, 1, 55, 1, 24

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

2 x 7 x 19 x 29 x 19 x 1 x 55 x 1 x 24 = 193467120

Therefore, the lowest common multiple of 361,551,770,551,336 is 193467120.

LCM Formula to Find Lowest Common Multiple of 361,551,770,551,336

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.

361 x 551 x 770 x 551 x 336 = 28355701909920

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.

361 : 1, 19, 361

551 : 1, 19, 29, 551

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

551 : 1, 19, 29, 551

336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 361,551,770,551,336, is 1.

Now, the common factors can be found like this.

361:19x 19

551:19x 29

770:2x 5x 7x 11

551:19x 29

336:2x 2x 2x 2x 3x 7

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

2x 7x 19x 19x 29 = 146566

Therefore, the value for common factors is 146566.

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 = 28355701909920/(1x146566)

LCM = 28355701909920/146566

LCM = 193467120

Thus, we can understand that the LCM of 361,551,770,551,336 is 193467120.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 361, 551, 770, 551, 336

1. What is the LCM of 361, 551, 770, 551, 336?

Answer: LCM of 361, 551, 770, 551, 336 is 193467120.

2. How to calculate the LCM of 361, 551, 770, 551, 336?

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 361, 551, 770, 551, 336.

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}.