Given numbers are 402,134,428,517

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

The LCM of 402,134,428,517 is 44476476.

Find LCM of 402,134,428,517 with Prime Factorization

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

2 x 67 x 3 x 1 x 214 x 517 = 44476476

Therefore, the lowest common multiple of 402,134,428,517 is 44476476.

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.

402 x 134 x 428 x 517 = 11919695568

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.

402 : 1, 2, 3, 6, 67, 134, 201, 402

134 : 1, 2, 67, 134

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

517 : 1, 11, 47, 517

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 402,134,428,517, is 1.

Now, the common factors can be found like this.

402:2x 3x 67

134:2x 67

428:2x 2x 107

517:11x 47

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 67 = 268

Therefore, the value for common factors is 268.

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 = 11919695568/(1x268)

LCM = 11919695568/268

LCM = 44476476

Thus, we can understand that the LCM of 402,134,428,517 is 44476476.

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

• LCM of 462, 184, 491, 636
• LCM of 108, 934, 569, 572
• LCM of 283, 222, 595, 550
• LCM of 611, 390, 825, 161
• LCM of 637, 414, 182, 737

1. What is the LCM of 402, 134, 428, 517?

Answer: LCM of 402, 134, 428, 517 is 44476476.

2. How to calculate the LCM of 402, 134, 428, 517?

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 402, 134, 428, 517.

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}.