Given numbers are 688,782,860,420,702

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

The LCM of 688,782,860,420,702 is 3304763280.

Find LCM of 688,782,860,420,702 with Prime Factorization

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

2 x 2 x 3 x 5 x 43 x 4 x 391 x 1 x 7 x 117 = 3304763280

Therefore, the lowest common multiple of 688,782,860,420,702 is 3304763280.

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.

688 x 782 x 860 x 420 x 702 = 136420628198400

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.

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

782 : 1, 2, 17, 23, 34, 46, 391, 782

860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 688,782,860,420,702, is 2.

Now, the common factors can be found like this.

688:2x 2x 2x 2x 43

782:2x 17x 23

860:2x 2x 5x 43

420:2x 2x 3x 5x 7

702:2x 3x 3x 3x 13

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 5x 43 = 20640

Therefore, the value for common factors is 20640.

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 = 136420628198400/(2x20640)

LCM = 136420628198400/41280

LCM = 3304763280

Thus, we can understand that the LCM of 688,782,860,420,702 is 3304763280.

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

• LCM of 568, 560, 645, 360, 672
• LCM of 389, 994, 492, 292, 196
• LCM of 877, 172, 490, 590, 686
• LCM of 830, 706, 425, 854, 852
• LCM of 465, 137, 145, 207, 924

1. What is the LCM of 688, 782, 860, 420, 702?

Answer: LCM of 688, 782, 860, 420, 702 is 3304763280.

2. How to calculate the LCM of 688, 782, 860, 420, 702?

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 688, 782, 860, 420, 702.

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}.