Given numbers are 702,208,758,949

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

The LCM of 702,208,758,949 is 155377872.

Find LCM of 702,208,758,949 with Prime Factorization

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

2 x 13 x 27 x 8 x 379 x 73 = 155377872

Therefore, the lowest common multiple of 702,208,758,949 is 155377872.

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 208 x 758 x 949 = 105035441472

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

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

758 : 1, 2, 379, 758

949 : 1, 13, 73, 949

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 702,208,758,949, is 1.

Now, the common factors can be found like this.

702:2x 3x 3x 3x 13

208:2x 2x 2x 2x 13

758:2x 379

949:13x 73

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 13x 13 = 676

Therefore, the value for common factors is 676.

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 = 105035441472/(1x676)

LCM = 105035441472/676

LCM = 155377872

Thus, we can understand that the LCM of 702,208,758,949 is 155377872.

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

• LCM of 919, 123, 806, 945
• LCM of 925, 297, 936, 320
• LCM of 549, 921, 579, 227
• LCM of 728, 753, 507, 103
• LCM of 291, 271, 925, 437

1. What is the LCM of 702, 208, 758, 949?

Answer: LCM of 702, 208, 758, 949 is 155377872.

2. How to calculate the LCM of 702, 208, 758, 949?

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, 208, 758, 949.

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}.