Given numbers are 564,341,106,935

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

The LCM of 564,341,106,935 is 866419620.

Find LCM of 564,341,106,935 with Prime Factorization

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

2 x 11 x 282 x 31 x 53 x 85 = 866419620

Therefore, the lowest common multiple of 564,341,106,935 is 866419620.

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.

564 x 341 x 106 x 935 = 19061231640

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.

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

341 : 1, 11, 31, 341

106 : 1, 2, 53, 106

935 : 1, 5, 11, 17, 55, 85, 187, 935

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 564,341,106,935, is 1.

Now, the common factors can be found like this.

564:2x 2x 3x 47

341:11x 31

106:2x 53

935:5x 11x 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 11 = 22

Therefore, the value for common factors is 22.

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 = 19061231640/(1x22)

LCM = 19061231640/22

LCM = 866419620

Thus, we can understand that the LCM of 564,341,106,935 is 866419620.

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

• LCM of 473, 634, 156, 992
• LCM of 751, 710, 500, 128
• LCM of 811, 867, 775, 942
• LCM of 575, 205, 256, 933
• LCM of 276, 343, 684, 821

1. What is the LCM of 564, 341, 106, 935?

Answer: LCM of 564, 341, 106, 935 is 866419620.

2. How to calculate the LCM of 564, 341, 106, 935?

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 564, 341, 106, 935.

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}.