Given numbers are 680,624,449,918

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

The LCM of 680,624,449,918 is 214334640.

Find LCM of 680,624,449,918 with Prime Factorization

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

2 x 2 x 2 x 3 x 17 x 5 x 26 x 449 x 9 = 214334640

Therefore, the lowest common multiple of 680,624,449,918 is 214334640.

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.

680 x 624 x 449 x 918 = 174897066240

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.

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

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

449 : 1, 449

918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 680,624,449,918, is 1.

Now, the common factors can be found like this.

680:2x 2x 2x 5x 17

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

449:449

918:2x 3x 3x 3x 17

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 2x 3x 17 = 816

Therefore, the value for common factors is 816.

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 = 174897066240/(1x816)

LCM = 174897066240/816

LCM = 214334640

Thus, we can understand that the LCM of 680,624,449,918 is 214334640.

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

• LCM of 158, 277, 614, 887
• LCM of 826, 990, 457, 760
• LCM of 899, 415, 194, 463
• LCM of 373, 976, 623, 868
• LCM of 305, 378, 407, 707

1. What is the LCM of 680, 624, 449, 918?

Answer: LCM of 680, 624, 449, 918 is 214334640.

2. How to calculate the LCM of 680, 624, 449, 918?

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 680, 624, 449, 918.

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}.