Given numbers are 420,697,324,124,528

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

The LCM of 420,697,324,124,528 is 10781028720.

Find LCM of 420,697,324,124,528 with Prime Factorization

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

2 x 2 x 3 x 35 x 697 x 27 x 31 x 44 = 10781028720

Therefore, the lowest common multiple of 420,697,324,124,528 is 10781028720.

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.

420 x 697 x 324 x 124 x 528 = 6209872542720

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.

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

697 : 1, 17, 41, 697

324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

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

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,697,324,124,528, is 1.

Now, the common factors can be found like this.

420:2x 2x 3x 5x 7

697:17x 41

324:2x 2x 3x 3x 3x 3

124:2x 2x 31

528:2x 2x 2x 2x 3x 11

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 2x 3x 3 = 576

Therefore, the value for common factors is 576.

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 = 6209872542720/(1x576)

LCM = 6209872542720/576

LCM = 10781028720

Thus, we can understand that the LCM of 420,697,324,124,528 is 10781028720.

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

• LCM of 394, 242, 899, 561, 156
• LCM of 788, 458, 364, 673, 114
• LCM of 553, 215, 963, 976, 139
• LCM of 259, 443, 874, 865, 212
• LCM of 834, 485, 665, 275, 197

1. What is the LCM of 420, 697, 324, 124, 528?

Answer: LCM of 420, 697, 324, 124, 528 is 10781028720.

2. How to calculate the LCM of 420, 697, 324, 124, 528?

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 420, 697, 324, 124, 528.

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}.