Given numbers are 936,575,596,140

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

The LCM of 936,575,596,140 is 561342600.

Find LCM of 936,575,596,140 with Prime Factorization

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

2 x 2 x 5 x 234 x 115 x 149 x 7 = 561342600

Therefore, the lowest common multiple of 936,575,596,140 is 561342600.

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.

936 x 575 x 596 x 140 = 44907408000

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.

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

575 : 1, 5, 23, 25, 115, 575

596 : 1, 2, 4, 149, 298, 596

140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 936,575,596,140, is 1.

Now, the common factors can be found like this.

936:2x 2x 2x 3x 3x 13

575:5x 5x 23

596:2x 2x 149

140:2x 2x 5x 7

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 2x 2x 5 = 80

Therefore, the value for common factors is 80.

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 = 44907408000/(1x80)

LCM = 44907408000/80

LCM = 561342600

Thus, we can understand that the LCM of 936,575,596,140 is 561342600.

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

• LCM of 855, 771, 424, 156
• LCM of 879, 456, 704, 491
• LCM of 648, 258, 142, 507
• LCM of 230, 890, 460, 596
• LCM of 340, 459, 522, 215

1. What is the LCM of 936, 575, 596, 140?

Answer: LCM of 936, 575, 596, 140 is 561342600.

2. How to calculate the LCM of 936, 575, 596, 140?

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 936, 575, 596, 140.

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}.