Given numbers are 564,474,953,306

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

The LCM of 564,474,953,306 is 2165555268.

Find LCM of 564,474,953,306 with Prime Factorization

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

2 x 3 x 94 x 79 x 953 x 51 = 2165555268

Therefore, the lowest common multiple of 564,474,953,306 is 2165555268.

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 474 x 953 x 306 = 77959989648

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

474 : 1, 2, 3, 6, 79, 158, 237, 474

953 : 1, 953

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 564,474,953,306, is 1.

Now, the common factors can be found like this.

564:2x 2x 3x 47

474:2x 3x 79

953:953

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 77959989648/(1x36)

LCM = 77959989648/36

LCM = 2165555268

Thus, we can understand that the LCM of 564,474,953,306 is 2165555268.

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

• LCM of 429, 366, 877, 537
• LCM of 293, 780, 231, 959
• LCM of 770, 404, 141, 661
• LCM of 309, 694, 596, 719
• LCM of 566, 182, 625, 514

1. What is the LCM of 564, 474, 953, 306?

Answer: LCM of 564, 474, 953, 306 is 2165555268.

2. How to calculate the LCM of 564, 474, 953, 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 564, 474, 953, 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}.