Given numbers are 363,124,372,336,802

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

The LCM of 363,124,372,336,802 is 505394736.

Find LCM of 363,124,372,336,802 with Prime Factorization

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

2 x 2 x 3 x 31 x 121 x 1 x 1 x 28 x 401 = 505394736

Therefore, the lowest common multiple of 363,124,372,336,802 is 505394736.

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.

363 x 124 x 372 x 336 x 802 = 4512164203008

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.

363 : 1, 3, 11, 33, 121, 363

124 : 1, 2, 4, 31, 62, 124

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

802 : 1, 2, 401, 802

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 363,124,372,336,802, is 1.

Now, the common factors can be found like this.

363:3x 11x 11

124:2x 2x 31

372:2x 2x 3x 31

336:2x 2x 2x 2x 3x 7

802:2x 401

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 2x 3x 3x 31 = 8928

Therefore, the value for common factors is 8928.

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 = 4512164203008/(1x8928)

LCM = 4512164203008/8928

LCM = 505394736

Thus, we can understand that the LCM of 363,124,372,336,802 is 505394736.

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

• LCM of 736, 411, 392, 614, 180
• LCM of 223, 430, 398, 752, 312
• LCM of 238, 181, 302, 839, 308
• LCM of 926, 441, 394, 840, 126
• LCM of 740, 811, 941, 625, 304

1. What is the LCM of 363, 124, 372, 336, 802?

Answer: LCM of 363, 124, 372, 336, 802 is 505394736.

2. How to calculate the LCM of 363, 124, 372, 336, 802?

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 363, 124, 372, 336, 802.

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}.