Given numbers are 313,504,455,698

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

The LCM of 313,504,455,698 is 3578604120.

Find LCM of 313,504,455,698 with Prime Factorization

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

2 x 7 x 313 x 36 x 65 x 349 = 3578604120

Therefore, the lowest common multiple of 313,504,455,698 is 3578604120.

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.

313 x 504 x 455 x 698 = 50100457680

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.

313 : 1, 313

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

455 : 1, 5, 7, 13, 35, 65, 91, 455

698 : 1, 2, 349, 698

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 313,504,455,698, is 1.

Now, the common factors can be found like this.

313:313

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

455:5x 7x 13

698:2x 349

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 50100457680/(1x14)

LCM = 50100457680/14

LCM = 3578604120

Thus, we can understand that the LCM of 313,504,455,698 is 3578604120.

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

• LCM of 469, 452, 982, 181
• LCM of 968, 883, 551, 556
• LCM of 133, 246, 360, 795
• LCM of 367, 251, 514, 841
• LCM of 767, 981, 345, 265

1. What is the LCM of 313, 504, 455, 698?

Answer: LCM of 313, 504, 455, 698 is 3578604120.

2. How to calculate the LCM of 313, 504, 455, 698?

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 313, 504, 455, 698.

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}.