Given numbers are 624,187,403,680,328

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

The LCM of 624,187,403,680,328 is 741552240.

Find LCM of 624,187,403,680,328 with Prime Factorization

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

2 x 2 x 2 x 13 x 17 x 6 x 11 x 31 x 5 x 41 = 741552240

Therefore, the lowest common multiple of 624,187,403,680,328 is 741552240.

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.

624 x 187 x 403 x 680 x 328 = 10488514882560

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.

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

187 : 1, 11, 17, 187

403 : 1, 13, 31, 403

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

328 : 1, 2, 4, 8, 41, 82, 164, 328

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 624,187,403,680,328, is 1.

Now, the common factors can be found like this.

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

187:11x 17

403:13x 31

680:2x 2x 2x 5x 17

328:2x 2x 2x 41

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 2x 2x 13x 17 = 14144

Therefore, the value for common factors is 14144.

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 = 10488514882560/(1x14144)

LCM = 10488514882560/14144

LCM = 741552240

Thus, we can understand that the LCM of 624,187,403,680,328 is 741552240.

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

• LCM of 800, 975, 270, 213, 134
• LCM of 340, 695, 845, 900, 167
• LCM of 791, 711, 536, 709, 448
• LCM of 101, 447, 451, 327, 728
• LCM of 872, 744, 942, 244, 970

1. What is the LCM of 624, 187, 403, 680, 328?

Answer: LCM of 624, 187, 403, 680, 328 is 741552240.

2. How to calculate the LCM of 624, 187, 403, 680, 328?

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 624, 187, 403, 680, 328.

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}.