Given numbers are 564,351,480,959,701

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

The LCM of 564,351,480,959,701 is 1774441075680.

Find LCM of 564,351,480,959,701 with Prime Factorization

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

2 x 2 x 3 x 47 x 117 x 40 x 959 x 701 = 1774441075680

Therefore, the lowest common multiple of 564,351,480,959,701 is 1774441075680.

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 351 x 480 x 959 x 701 = 63879878724480

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

351 : 1, 3, 9, 13, 27, 39, 117, 351

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

959 : 1, 7, 137, 959

701 : 1, 701

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 564,351,480,959,701, is 1.

Now, the common factors can be found like this.

564:2x 2x 3x 47

351:3x 3x 3x 13

480:2x 2x 2x 2x 2x 3x 5

959:7x 137

701:701

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 = 63879878724480/(1x36)

LCM = 63879878724480/36

LCM = 1774441075680

Thus, we can understand that the LCM of 564,351,480,959,701 is 1774441075680.

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

• LCM of 215, 345, 559, 820, 260
• LCM of 152, 122, 233, 774, 163
• LCM of 123, 358, 633, 322, 730
• LCM of 866, 502, 117, 886, 195
• LCM of 360, 596, 599, 892, 567

1. What is the LCM of 564, 351, 480, 959, 701?

Answer: LCM of 564, 351, 480, 959, 701 is 1774441075680.

2. How to calculate the LCM of 564, 351, 480, 959, 701?

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, 351, 480, 959, 701.

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}.