Given numbers are 780,121,318,910

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

The LCM of 780,121,318,910 is 35014980.

Find LCM of 780,121,318,910 with Prime Factorization

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

2 x 3 x 5 x 13 x 2 x 121 x 53 x 7 = 35014980

Therefore, the lowest common multiple of 780,121,318,910 is 35014980.

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.

780 x 121 x 318 x 910 = 27311684400

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.

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

121 : 1, 11, 121

318 : 1, 2, 3, 6, 53, 106, 159, 318

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 780,121,318,910, is 1.

Now, the common factors can be found like this.

780:2x 2x 3x 5x 13

121:11x 11

318:2x 3x 53

910:2x 5x 7x 13

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 3x 5x 13 = 780

Therefore, the value for common factors is 780.

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 = 27311684400/(1x780)

LCM = 27311684400/780

LCM = 35014980

Thus, we can understand that the LCM of 780,121,318,910 is 35014980.

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

• LCM of 995, 454, 799, 168
• LCM of 328, 733, 263, 863
• LCM of 367, 213, 763, 913
• LCM of 394, 279, 740, 225
• LCM of 725, 168, 539, 839

1. What is the LCM of 780, 121, 318, 910?

Answer: LCM of 780, 121, 318, 910 is 35014980.

2. How to calculate the LCM of 780, 121, 318, 910?

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 780, 121, 318, 910.

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}.