Given numbers are 217,113,524,428

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

The LCM of 217,113,524,428 is 1374843428.

Find LCM of 217,113,524,428 with Prime Factorization

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

2 x 2 x 217 x 113 x 131 x 107 = 1374843428

Therefore, the lowest common multiple of 217,113,524,428 is 1374843428.

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.

217 x 113 x 524 x 428 = 5499373712

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.

217 : 1, 7, 31, 217

113 : 1, 113

524 : 1, 2, 4, 131, 262, 524

428 : 1, 2, 4, 107, 214, 428

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 217,113,524,428, is 1.

Now, the common factors can be found like this.

217:7x 31

113:113

524:2x 2x 131

428:2x 2x 107

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 5499373712/(1x4)

LCM = 5499373712/4

LCM = 1374843428

Thus, we can understand that the LCM of 217,113,524,428 is 1374843428.

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

• LCM of 566, 322, 881, 509
• LCM of 654, 371, 583, 820
• LCM of 845, 452, 837, 508
• LCM of 502, 946, 199, 128
• LCM of 665, 327, 846, 560

1. What is the LCM of 217, 113, 524, 428?

Answer: LCM of 217, 113, 524, 428 is 1374843428.

2. How to calculate the LCM of 217, 113, 524, 428?

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 217, 113, 524, 428.

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}.