Given numbers are 395,578,564,169

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

The LCM of 395,578,564,169 is 10880797980.

Find LCM of 395,578,564,169 with Prime Factorization

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

2 x 395 x 289 x 282 x 169 = 10880797980

Therefore, the lowest common multiple of 395,578,564,169 is 10880797980.

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.

395 x 578 x 564 x 169 = 21761595960

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.

395 : 1, 5, 79, 395

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

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

169 : 1, 13, 169

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 395,578,564,169, is 1.

Now, the common factors can be found like this.

395:5x 79

578:2x 17x 17

564:2x 2x 3x 47

169:13x 13

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

2 = 2

Therefore, the value for common factors is 2.

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 = 21761595960/(1x2)

LCM = 21761595960/2

LCM = 10880797980

Thus, we can understand that the LCM of 395,578,564,169 is 10880797980.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 378, 539, 269, 966
• LCM of 172, 569, 444, 775
• LCM of 745, 745, 478, 661
• LCM of 811, 829, 485, 742
• LCM of 594, 821, 422, 726

1. What is the LCM of 395, 578, 564, 169?

Answer: LCM of 395, 578, 564, 169 is 10880797980.

2. How to calculate the LCM of 395, 578, 564, 169?

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 395, 578, 564, 169.

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}.