Given numbers are 678,624,598,217

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

The LCM of 678,624,598,217 is 351925392.

Find LCM of 678,624,598,217 with Prime Factorization

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

2 x 3 x 13 x 113 x 8 x 23 x 217 = 351925392

Therefore, the lowest common multiple of 678,624,598,217 is 351925392.

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.

678 x 624 x 598 x 217 = 54900361152

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.

678 : 1, 2, 3, 6, 113, 226, 339, 678

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

598 : 1, 2, 13, 23, 26, 46, 299, 598

217 : 1, 7, 31, 217

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,624,598,217, is 1.

Now, the common factors can be found like this.

678:2x 3x 113

624:2x 2x 2x 2x 3x 13

598:2x 13x 23

217:7x 31

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 13 = 156

Therefore, the value for common factors is 156.

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 = 54900361152/(1x156)

LCM = 54900361152/156

LCM = 351925392

Thus, we can understand that the LCM of 678,624,598,217 is 351925392.

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

• LCM of 923, 706, 697, 322
• LCM of 859, 216, 144, 480
• LCM of 566, 605, 550, 994
• LCM of 157, 254, 165, 926
• LCM of 549, 980, 827, 312

1. What is the LCM of 678, 624, 598, 217?

Answer: LCM of 678, 624, 598, 217 is 351925392.

2. How to calculate the LCM of 678, 624, 598, 217?

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 678, 624, 598, 217.

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}.