Given numbers are 702,939,294,618,816

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

The LCM of 702,939,294,618,816 is 150818168592.

Find LCM of 702,939,294,618,816 with Prime Factorization

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

2 x 3 x 117 x 313 x 49 x 103 x 136 = 150818168592

Therefore, the lowest common multiple of 702,939,294,618,816 is 150818168592.

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 939 x 294 x 618 x 816 = 97730173247616

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

939 : 1, 3, 313, 939

294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

618 : 1, 2, 3, 6, 103, 206, 309, 618

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 702,939,294,618,816, is 3.

Now, the common factors can be found like this.

702:2x 3x 3x 3x 13

939:3x 313

294:2x 3x 7x 7

618:2x 3x 103

816:2x 2x 2x 2x 3x 17

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 3x 3x 3 = 216

Therefore, the value for common factors is 216.

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 = 97730173247616/(3x216)

LCM = 97730173247616/648

LCM = 150818168592

Thus, we can understand that the LCM of 702,939,294,618,816 is 150818168592.

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

• LCM of 736, 989, 176, 788, 231
• LCM of 549, 588, 127, 885, 366
• LCM of 897, 923, 762, 341, 494
• LCM of 942, 675, 859, 189, 980
• LCM of 632, 802, 386, 623, 959

1. What is the LCM of 702, 939, 294, 618, 816?

Answer: LCM of 702, 939, 294, 618, 816 is 150818168592.

2. How to calculate the LCM of 702, 939, 294, 618, 816?

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, 939, 294, 618, 816.

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}.