Given numbers are 702,257,896,960

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

The LCM of 702,257,896,960 is 404127360.

Find LCM of 702,257,896,960 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 2 x 3 x 117 x 257 x 14 x 5 = 404127360

Therefore, the lowest common multiple of 702,257,896,960 is 404127360.

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 257 x 896 x 960 = 155184906240

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

257 : 1, 257

896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 702,257,896,960, is 1.

Now, the common factors can be found like this.

702:2x 3x 3x 3x 13

257:257

896:2x 2x 2x 2x 2x 2x 2x 7

960:2x 2x 2x 2x 2x 2x 3x 5

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 2x 3 = 384

Therefore, the value for common factors is 384.

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 = 155184906240/(1x384)

LCM = 155184906240/384

LCM = 404127360

Thus, we can understand that the LCM of 702,257,896,960 is 404127360.

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

• LCM of 624, 530, 846, 854
• LCM of 137, 274, 988, 977
• LCM of 208, 966, 874, 107
• LCM of 294, 833, 134, 842
• LCM of 126, 830, 573, 485

1. What is the LCM of 702, 257, 896, 960?

Answer: LCM of 702, 257, 896, 960 is 404127360.

2. How to calculate the LCM of 702, 257, 896, 960?

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, 257, 896, 960.

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}.