Given numbers are 936,610,145,728

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

The LCM of 936,610,145,728 is 57952440.

Find LCM of 936,610,145,728 with Prime Factorization

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

2 x 2 x 2 x 5 x 13 x 9 x 61 x 29 x 7 = 57952440

Therefore, the lowest common multiple of 936,610,145,728 is 57952440.

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 610 x 145 x 728 = 60270537600

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

610 : 1, 2, 5, 10, 61, 122, 305, 610

145 : 1, 5, 29, 145

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 936,610,145,728, is 1.

Now, the common factors can be found like this.

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

610:2x 5x 61

145:5x 29

728:2x 2x 2x 7x 13

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 5x 13 = 1040

Therefore, the value for common factors is 1040.

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 = 60270537600/(1x1040)

LCM = 60270537600/1040

LCM = 57952440

Thus, we can understand that the LCM of 936,610,145,728 is 57952440.

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

• LCM of 145, 426, 555, 955
• LCM of 871, 399, 203, 286
• LCM of 384, 120, 171, 302
• LCM of 293, 466, 320, 705
• LCM of 347, 544, 667, 673

1. What is the LCM of 936, 610, 145, 728?

Answer: LCM of 936, 610, 145, 728 is 57952440.

2. How to calculate the LCM of 936, 610, 145, 728?

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, 610, 145, 728.

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}.