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LCM of 554, 608, 144, 356, 861

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


Find the LCM of 554, 608, 144, 356, 861 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 554, 608, 144, 356, 861. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 554,608,144,356,861

Given numbers are 554,608,144,356,861

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

The LCM of 554,608,144,356,861 is 38716648992.

Find LCM of 554,608,144,356,861 with Prime Factorization


2 554, 608, 144, 356, 861
2 277, 304, 72, 178, 861
2 277, 152, 36, 89, 861
2 277, 76, 18, 89, 861
3 277, 38, 9, 89, 861
277, 38, 3, 89, 287

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

2 x 2 x 2 x 2 x 3 x 277 x 38 x 3 x 89 x 287 = 38716648992

Therefore, the lowest common multiple of 554,608,144,356,861 is 38716648992.

LCM Formula to Find Lowest Common Multiple of 554,608,144,356,861

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.

554 x 608 x 144 x 356 x 861 = 14867193212928

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.

554 : 1, 2, 277, 554

608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

356 : 1, 2, 4, 89, 178, 356

861 : 1, 3, 7, 21, 41, 123, 287, 861

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 554,608,144,356,861, is 1.

Now, the common factors can be found like this.

554:2x 277

608:2x 2x 2x 2x 2x 19

144:2x 2x 2x 2x 3x 3

356:2x 2x 89

861:3x 7x 41

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 3 = 384

Therefore, the value for common factors is 384.

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 = 14867193212928/(1x384)

LCM = 14867193212928/384

LCM = 38716648992

Thus, we can understand that the LCM of 554,608,144,356,861 is 38716648992.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 554, 608, 144, 356, 861

1. What is the LCM of 554, 608, 144, 356, 861?

Answer: LCM of 554, 608, 144, 356, 861 is 38716648992.

2. How to calculate the LCM of 554, 608, 144, 356, 861?

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 554, 608, 144, 356, 861.

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}.