Given numbers are 687,416,370,327,592

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

The LCM of 687,416,370,327,592 is 5762995680.

Find LCM of 687,416,370,327,592 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 37 x 229 x 26 x 5 x 109 x 1 = 5762995680

Therefore, the lowest common multiple of 687,416,370,327,592 is 5762995680.

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.

687 x 416 x 370 x 327 x 592 = 20470160655360

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.

687 : 1, 3, 229, 687

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

370 : 1, 2, 5, 10, 37, 74, 185, 370

327 : 1, 3, 109, 327

592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 687,416,370,327,592, is 1.

Now, the common factors can be found like this.

687:3x 229

416:2x 2x 2x 2x 2x 13

370:2x 5x 37

327:3x 109

592:2x 2x 2x 2x 37

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 3x 37 = 3552

Therefore, the value for common factors is 3552.

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 = 20470160655360/(1x3552)

LCM = 20470160655360/3552

LCM = 5762995680

Thus, we can understand that the LCM of 687,416,370,327,592 is 5762995680.

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

• LCM of 628, 921, 895, 158, 688
• LCM of 523, 921, 936, 693, 644
• LCM of 789, 830, 797, 383, 844
• LCM of 333, 820, 945, 825, 281
• LCM of 442, 920, 600, 627, 710

1. What is the LCM of 687, 416, 370, 327, 592?

Answer: LCM of 687, 416, 370, 327, 592 is 5762995680.

2. How to calculate the LCM of 687, 416, 370, 327, 592?

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 687, 416, 370, 327, 592.

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}.