Given numbers are 590,522,701,146,714

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

The LCM of 590,522,701,146,714 is 937735502130.

Find LCM of 590,522,701,146,714 with Prime Factorization

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

2 x 3 x 295 x 87 x 701 x 73 x 119 = 937735502130

Therefore, the lowest common multiple of 590,522,701,146,714 is 937735502130.

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.

590 x 522 x 701 x 146 x 714 = 22505652051120

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.

590 : 1, 2, 5, 10, 59, 118, 295, 590

522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

701 : 1, 701

146 : 1, 2, 73, 146

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 590,522,701,146,714, is 1.

Now, the common factors can be found like this.

590:2x 5x 59

522:2x 3x 3x 29

701:701

146:2x 73

714:2x 3x 7x 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 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 = 22505652051120/(1x24)

LCM = 22505652051120/24

LCM = 937735502130

Thus, we can understand that the LCM of 590,522,701,146,714 is 937735502130.

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

• LCM of 399, 947, 872, 874, 115
• LCM of 195, 967, 320, 922, 968
• LCM of 401, 707, 571, 227, 255
• LCM of 991, 252, 827, 701, 522
• LCM of 679, 173, 322, 790, 645

1. What is the LCM of 590, 522, 701, 146, 714?

Answer: LCM of 590, 522, 701, 146, 714 is 937735502130.

2. How to calculate the LCM of 590, 522, 701, 146, 714?

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 590, 522, 701, 146, 714.

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}.