Given numbers are 564,306,469,473

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

The LCM of 564,306,469,473 is 6380919468.

Find LCM of 564,306,469,473 with Prime Factorization

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

2 x 3 x 94 x 51 x 469 x 473 = 6380919468

Therefore, the lowest common multiple of 564,306,469,473 is 6380919468.

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.

564 x 306 x 469 x 473 = 38285516808

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.

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

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

469 : 1, 7, 67, 469

473 : 1, 11, 43, 473

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 564,306,469,473, is 1.

Now, the common factors can be found like this.

564:2x 2x 3x 47

306:2x 3x 3x 17

469:7x 67

473:11x 43

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 38285516808/(1x6)

LCM = 38285516808/6

LCM = 6380919468

Thus, we can understand that the LCM of 564,306,469,473 is 6380919468.

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

• LCM of 236, 695, 462, 925
• LCM of 763, 895, 787, 952
• LCM of 172, 768, 985, 875
• LCM of 250, 798, 310, 298
• LCM of 708, 270, 759, 310

1. What is the LCM of 564, 306, 469, 473?

Answer: LCM of 564, 306, 469, 473 is 6380919468.

2. How to calculate the LCM of 564, 306, 469, 473?

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 564, 306, 469, 473.

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}.