Given numbers are 728,936,130,442

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

The LCM of 728,936,130,442 is 556920.

Find LCM of 728,936,130,442 with Prime Factorization

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

2 x 2 x 2 x 13 x 7 x 9 x 5 x 17 = 556920

Therefore, the lowest common multiple of 728,936,130,442 is 556920.

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.

728 x 936 x 130 x 442 = 39153703680

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.

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

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

130 : 1, 2, 5, 10, 13, 26, 65, 130

442 : 1, 2, 13, 17, 26, 34, 221, 442

26 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,936,130,442, is 26.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

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

130:2x 5x 13

442:2x 13x 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 2x 2x 2x 13x 13 = 2704

Therefore, the value for common factors is 2704.

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 = 39153703680/(26x2704)

LCM = 39153703680/70304

LCM = 556920

Thus, we can understand that the LCM of 728,936,130,442 is 556920.

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

• LCM of 757, 220, 157, 274
• LCM of 508, 969, 971, 954
• LCM of 614, 241, 591, 303
• LCM of 217, 662, 915, 614
• LCM of 977, 792, 999, 286

1. What is the LCM of 728, 936, 130, 442?

Answer: LCM of 728, 936, 130, 442 is 556920.

2. How to calculate the LCM of 728, 936, 130, 442?

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 728, 936, 130, 442.

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}.