Given numbers are 617,214,428,526

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

The LCM of 617,214,428,526 is 69451988.

Find LCM of 617,214,428,526 with Prime Factorization

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

2 x 107 x 617 x 1 x 2 x 263 = 69451988

Therefore, the lowest common multiple of 617,214,428,526 is 69451988.

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.

617 x 214 x 428 x 526 = 29725450864

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.

617 : 1, 617

214 : 1, 2, 107, 214

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

526 : 1, 2, 263, 526

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 617,214,428,526, is 1.

Now, the common factors can be found like this.

617:617

214:2x 107

428:2x 2x 107

526:2x 263

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 107 = 428

Therefore, the value for common factors is 428.

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 = 29725450864/(1x428)

LCM = 29725450864/428

LCM = 69451988

Thus, we can understand that the LCM of 617,214,428,526 is 69451988.

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

• LCM of 783, 773, 974, 450
• LCM of 390, 227, 755, 595
• LCM of 163, 260, 991, 999
• LCM of 111, 279, 332, 715
• LCM of 575, 346, 680, 411

1. What is the LCM of 617, 214, 428, 526?

Answer: LCM of 617, 214, 428, 526 is 69451988.

2. How to calculate the LCM of 617, 214, 428, 526?

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 617, 214, 428, 526.

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}.