Given numbers are 378,788,464,912,950

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

The LCM of 378,788,464,912,950 is 8206153200.

Find LCM of 378,788,464,912,950 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 19 x 63 x 197 x 29 x 1 x 25 = 8206153200

Therefore, the lowest common multiple of 378,788,464,912,950 is 8206153200.

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.

378 x 788 x 464 x 912 x 950 = 119744187494400

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.

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

788 : 1, 2, 4, 197, 394, 788

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 378,788,464,912,950, is 2.

Now, the common factors can be found like this.

378:2x 3x 3x 3x 7

788:2x 2x 197

464:2x 2x 2x 2x 29

912:2x 2x 2x 2x 3x 19

950:2x 5x 5x 19

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 3x 19 = 7296

Therefore, the value for common factors is 7296.

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 = 119744187494400/(2x7296)

LCM = 119744187494400/14592

LCM = 8206153200

Thus, we can understand that the LCM of 378,788,464,912,950 is 8206153200.

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

• LCM of 352, 129, 201, 667, 132
• LCM of 922, 202, 986, 659, 225
• LCM of 722, 874, 745, 210, 994
• LCM of 424, 597, 466, 915, 818
• LCM of 313, 597, 613, 862, 994

1. What is the LCM of 378, 788, 464, 912, 950?

Answer: LCM of 378, 788, 464, 912, 950 is 8206153200.

2. How to calculate the LCM of 378, 788, 464, 912, 950?

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 378, 788, 464, 912, 950.

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}.