Given numbers are 702,314,910,880

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

The LCM of 702,314,910,880 is 339459120.

Find LCM of 702,314,910,880 with Prime Factorization

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

2 x 5 x 13 x 27 x 157 x 7 x 88 = 339459120

Therefore, the lowest common multiple of 702,314,910,880 is 339459120.

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.

702 x 314 x 910 x 880 = 176518742400

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.

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

314 : 1, 2, 157, 314

910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 702,314,910,880, is 2.

Now, the common factors can be found like this.

702:2x 3x 3x 3x 13

314:2x 157

910:2x 5x 7x 13

880:2x 2x 2x 2x 5x 11

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 5x 13 = 260

Therefore, the value for common factors is 260.

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 = 176518742400/(2x260)

LCM = 176518742400/520

LCM = 339459120

Thus, we can understand that the LCM of 702,314,910,880 is 339459120.

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

• LCM of 418, 850, 448, 424
• LCM of 949, 854, 161, 614
• LCM of 197, 431, 456, 266
• LCM of 501, 384, 469, 339
• LCM of 237, 674, 778, 173

1. What is the LCM of 702, 314, 910, 880?

Answer: LCM of 702, 314, 910, 880 is 339459120.

2. How to calculate the LCM of 702, 314, 910, 880?

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 702, 314, 910, 880.

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}.