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LCM of 657, 429, 856, 550, 578

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


Find the LCM of 657, 429, 856, 550, 578 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 657, 429, 856, 550, 578. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 657,429,856,550,578

Given numbers are 657,429,856,550,578

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

The LCM of 657,429,856,550,578 is 581049354600.

Find LCM of 657,429,856,550,578 with Prime Factorization


2 657, 429, 856, 550, 578
3 657, 429, 428, 275, 289
11 219, 143, 428, 275, 289
219, 13, 428, 25, 289

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

2 x 3 x 11 x 219 x 13 x 428 x 25 x 289 = 581049354600

Therefore, the lowest common multiple of 657,429,856,550,578 is 581049354600.

LCM Formula to Find Lowest Common Multiple of 657,429,856,550,578

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.

657 x 429 x 856 x 550 x 578 = 76698514807200

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.

657 : 1, 3, 9, 73, 219, 657

429 : 1, 3, 11, 13, 33, 39, 143, 429

856 : 1, 2, 4, 8, 107, 214, 428, 856

550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

578 : 1, 2, 17, 34, 289, 578

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 657,429,856,550,578, is 1.

Now, the common factors can be found like this.

657:3x 3x 73

429:3x 11x 13

856:2x 2x 2x 107

550:2x 5x 5x 11

578:2x 17x 17

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 3x 11 = 132

Therefore, the value for common factors is 132.

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 = 76698514807200/(1x132)

LCM = 76698514807200/132

LCM = 581049354600

Thus, we can understand that the LCM of 657,429,856,550,578 is 581049354600.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 657, 429, 856, 550, 578

1. What is the LCM of 657, 429, 856, 550, 578?

Answer: LCM of 657, 429, 856, 550, 578 is 581049354600.

2. How to calculate the LCM of 657, 429, 856, 550, 578?

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 657, 429, 856, 550, 578.

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}.