Given numbers are 402,420,668,782

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

The LCM of 402,420,668,782 is 1837457580.

Find LCM of 402,420,668,782 with Prime Factorization

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

2 x 2 x 3 x 67 x 35 x 167 x 391 = 1837457580

Therefore, the lowest common multiple of 402,420,668,782 is 1837457580.

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 420 x 668 x 782 = 88197963840

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

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

668 : 1, 2, 4, 167, 334, 668

782 : 1, 2, 17, 23, 34, 46, 391, 782

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 402,420,668,782, is 2.

Now, the common factors can be found like this.

402:2x 3x 67

420:2x 2x 3x 5x 7

668:2x 2x 167

782:2x 17x 23

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 3 = 24

Therefore, the value for common factors is 24.

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 = 88197963840/(2x24)

LCM = 88197963840/48

LCM = 1837457580

Thus, we can understand that the LCM of 402,420,668,782 is 1837457580.

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

• LCM of 972, 128, 328, 761
• LCM of 817, 755, 347, 578
• LCM of 593, 971, 785, 162
• LCM of 945, 294, 829, 109
• LCM of 307, 860, 761, 494

1. What is the LCM of 402, 420, 668, 782?

Answer: LCM of 402, 420, 668, 782 is 1837457580.

2. How to calculate the LCM of 402, 420, 668, 782?

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, 420, 668, 782.

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}.