Given numbers are 936,493,703,282,414

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

The LCM of 936,493,703,282,414 is 350674177464.

Find LCM of 936,493,703,282,414 with Prime Factorization

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

2 x 3 x 3 x 52 x 493 x 703 x 47 x 23 = 350674177464

Therefore, the lowest common multiple of 936,493,703,282,414 is 350674177464.

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 493 x 703 x 282 x 414 = 37872811166112

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

493 : 1, 17, 29, 493

703 : 1, 19, 37, 703

282 : 1, 2, 3, 6, 47, 94, 141, 282

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 936,493,703,282,414, is 1.

Now, the common factors can be found like this.

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

493:17x 29

703:19x 37

282:2x 3x 47

414:2x 3x 3x 23

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 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 37872811166112/(1x108)

LCM = 37872811166112/108

LCM = 350674177464

Thus, we can understand that the LCM of 936,493,703,282,414 is 350674177464.

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

• LCM of 757, 192, 649, 524, 792
• LCM of 405, 162, 767, 221, 215
• LCM of 678, 791, 994, 509, 709
• LCM of 732, 211, 681, 807, 529
• LCM of 309, 597, 301, 593, 261

1. What is the LCM of 936, 493, 703, 282, 414?

Answer: LCM of 936, 493, 703, 282, 414 is 350674177464.

2. How to calculate the LCM of 936, 493, 703, 282, 414?

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, 493, 703, 282, 414.

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}.