Given numbers are 464,392,890,306

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

The LCM of 464,392,890,306 is 1547980560.

Find LCM of 464,392,890,306 with Prime Factorization

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

2 x 2 x 2 x 58 x 49 x 445 x 153 = 1547980560

Therefore, the lowest common multiple of 464,392,890,306 is 1547980560.

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.

464 x 392 x 890 x 306 = 49535377920

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.

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

890 : 1, 2, 5, 10, 89, 178, 445, 890

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 464,392,890,306, is 2.

Now, the common factors can be found like this.

464:2x 2x 2x 2x 29

392:2x 2x 2x 7x 7

890:2x 5x 89

306:2x 3x 3x 17

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 2 = 16

Therefore, the value for common factors is 16.

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 = 49535377920/(2x16)

LCM = 49535377920/32

LCM = 1547980560

Thus, we can understand that the LCM of 464,392,890,306 is 1547980560.

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

• LCM of 870, 774, 705, 986
• LCM of 906, 831, 596, 969
• LCM of 210, 249, 627, 667
• LCM of 895, 326, 180, 716
• LCM of 566, 440, 329, 923

1. What is the LCM of 464, 392, 890, 306?

Answer: LCM of 464, 392, 890, 306 is 1547980560.

2. How to calculate the LCM of 464, 392, 890, 306?

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 464, 392, 890, 306.

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}.