Given numbers are 630,590,210,364

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

The LCM of 630,590,210,364 is 966420.

Find LCM of 630,590,210,364 with Prime Factorization

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

2 x 3 x 5 x 7 x 1 x 59 x 3 x 26 = 966420

Therefore, the lowest common multiple of 630,590,210,364 is 966420.

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.

630 x 590 x 210 x 364 = 28412748000

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.

630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

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

210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 630,590,210,364, is 2.

Now, the common factors can be found like this.

630:2x 3x 3x 5x 7

590:2x 5x 59

210:2x 3x 5x 7

364:2x 2x 7x 13

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 5x 5x 7x 7 = 14700

Therefore, the value for common factors is 14700.

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 = 28412748000/(2x14700)

LCM = 28412748000/29400

LCM = 966420

Thus, we can understand that the LCM of 630,590,210,364 is 966420.

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

• LCM of 953, 465, 950, 468
• LCM of 714, 553, 530, 550
• LCM of 821, 421, 816, 123
• LCM of 565, 416, 365, 980
• LCM of 753, 838, 643, 342

1. What is the LCM of 630, 590, 210, 364?

Answer: LCM of 630, 590, 210, 364 is 966420.

2. How to calculate the LCM of 630, 590, 210, 364?

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 630, 590, 210, 364.

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}.