Given numbers are 905,136,564

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

The LCM of 905,136,564 is 17354280.

Find LCM of 905,136,564 with Prime Factorization

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

2 x 2 x 905 x 34 x 141 = 17354280

Therefore, the lowest common multiple of 905,136,564 is 17354280.

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.

905 x 136 x 564 = 69417120

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.

905 : 1, 5, 181, 905

136 : 1, 2, 4, 8, 17, 34, 68, 136

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 905,136,564, is 1.

Now, the common factors can be found like this.

905:5x 181

136:2x 2x 2x 17

564:2x 2x 3x 47

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 69417120/(1x4)

LCM = 69417120/4

LCM = 17354280

Thus, we can understand that the LCM of 905,136,564 is 17354280.

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

• LCM of 539, 850, 836
• LCM of 939, 634, 653
• LCM of 111, 961, 850
• LCM of 618, 333, 650
• LCM of 628, 430, 971

1. What is the LCM of 905, 136, 564?

Answer: LCM of 905, 136, 564 is 17354280.

2. How to calculate the LCM of 905, 136, 564?

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 905, 136, 564.

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}.