Given numbers are 488,698,789,314

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

The LCM of 488,698,789,314 is 21097058376.

Find LCM of 488,698,789,314 with Prime Factorization

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

2 x 244 x 349 x 789 x 157 = 21097058376

Therefore, the lowest common multiple of 488,698,789,314 is 21097058376.

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.

488 x 698 x 789 x 314 = 84388233504

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.

488 : 1, 2, 4, 8, 61, 122, 244, 488

698 : 1, 2, 349, 698

789 : 1, 3, 263, 789

314 : 1, 2, 157, 314

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 488,698,789,314, is 1.

Now, the common factors can be found like this.

488:2x 2x 2x 61

698:2x 349

789:3x 263

314:2x 157

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 84388233504/(1x4)

LCM = 84388233504/4

LCM = 21097058376

Thus, we can understand that the LCM of 488,698,789,314 is 21097058376.

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

• LCM of 950, 952, 700, 428
• LCM of 993, 391, 208, 116
• LCM of 530, 185, 696, 890
• LCM of 659, 598, 219, 465
• LCM of 948, 513, 395, 519

1. What is the LCM of 488, 698, 789, 314?

Answer: LCM of 488, 698, 789, 314 is 21097058376.

2. How to calculate the LCM of 488, 698, 789, 314?

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 488, 698, 789, 314.

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}.