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LCM of 104, 414, 551, 228, 553

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


Find the LCM of 104, 414, 551, 228, 553 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 104, 414, 551, 228, 553. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 104,414,551,228,553

Given numbers are 104,414,551,228,553

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

The LCM of 104,414,551,228,553 is 6559646184.

Find LCM of 104,414,551,228,553 with Prime Factorization


2 104, 414, 551, 228, 553
2 52, 207, 551, 114, 553
3 26, 207, 551, 57, 553
19 26, 69, 551, 19, 553
26, 69, 29, 1, 553

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

2 x 2 x 3 x 19 x 26 x 69 x 29 x 1 x 553 = 6559646184

Therefore, the lowest common multiple of 104,414,551,228,553 is 6559646184.

LCM Formula to Find Lowest Common Multiple of 104,414,551,228,553

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.

104 x 414 x 551 x 228 x 553 = 2991198659904

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.

104 : 1, 2, 4, 8, 13, 26, 52, 104

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

551 : 1, 19, 29, 551

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

553 : 1, 7, 79, 553

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 104,414,551,228,553, is 1.

Now, the common factors can be found like this.

104:2x 2x 2x 13

414:2x 3x 3x 23

551:19x 29

228:2x 2x 3x 19

553:7x 79

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 3x 19 = 456

Therefore, the value for common factors is 456.

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 = 2991198659904/(1x456)

LCM = 2991198659904/456

LCM = 6559646184

Thus, we can understand that the LCM of 104,414,551,228,553 is 6559646184.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 104, 414, 551, 228, 553

1. What is the LCM of 104, 414, 551, 228, 553?

Answer: LCM of 104, 414, 551, 228, 553 is 6559646184.

2. How to calculate the LCM of 104, 414, 551, 228, 553?

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 104, 414, 551, 228, 553.

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}.