Given numbers are 504,924,698,210

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

The LCM of 504,924,698,210 is 9674280.

Find LCM of 504,924,698,210 with Prime Factorization

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

2 x 2 x 3 x 7 x 6 x 11 x 349 x 5 = 9674280

Therefore, the lowest common multiple of 504,924,698,210 is 9674280.

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.

504 x 924 x 698 x 210 = 68261719680

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.

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

698 : 1, 2, 349, 698

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 504,924,698,210, is 2.

Now, the common factors can be found like this.

504:2x 2x 2x 3x 3x 7

924:2x 2x 3x 7x 11

698:2x 349

210:2x 3x 5x 7

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 3x 3x 7x 7 = 3528

Therefore, the value for common factors is 3528.

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 = 68261719680/(2x3528)

LCM = 68261719680/7056

LCM = 9674280

Thus, we can understand that the LCM of 504,924,698,210 is 9674280.

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

• LCM of 912, 393, 151, 635
• LCM of 133, 602, 144, 666
• LCM of 341, 785, 673, 439
• LCM of 127, 336, 319, 904
• LCM of 935, 740, 706, 268

1. What is the LCM of 504, 924, 698, 210?

Answer: LCM of 504, 924, 698, 210 is 9674280.

2. How to calculate the LCM of 504, 924, 698, 210?

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 504, 924, 698, 210.

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}.