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LCM of 578, 417, 169, 528

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


Find the LCM of 578, 417, 169, 528 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 578, 417, 169, 528. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 578,417,169,528

Given numbers are 578,417,169,528

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

The LCM of 578,417,169,528 is 3584538672.

Find LCM of 578,417,169,528 with Prime Factorization


2 578, 417, 169, 528
3 289, 417, 169, 264
289, 139, 169, 88

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

2 x 3 x 289 x 139 x 169 x 88 = 3584538672

Therefore, the lowest common multiple of 578,417,169,528 is 3584538672.

LCM Formula to Find Lowest Common Multiple of 578,417,169,528

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.

578 x 417 x 169 x 528 = 21507232032

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.

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

417 : 1, 3, 139, 417

169 : 1, 13, 169

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 578,417,169,528, is 1.

Now, the common factors can be found like this.

578:2x 17x 17

417:3x 139

169:13x 13

528:2x 2x 2x 2x 3x 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 3 = 6

Therefore, the value for common factors is 6.

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 = 21507232032/(1x6)

LCM = 21507232032/6

LCM = 3584538672

Thus, we can understand that the LCM of 578,417,169,528 is 3584538672.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 578, 417, 169, 528

1. What is the LCM of 578, 417, 169, 528?

Answer: LCM of 578, 417, 169, 528 is 3584538672.

2. How to calculate the LCM of 578, 417, 169, 528?

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 578, 417, 169, 528.

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}.