Given numbers are 780,107,115,148

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

The LCM of 780,107,115,148 is 71024460.

Find LCM of 780,107,115,148 with Prime Factorization

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

2 x 2 x 5 x 39 x 107 x 23 x 37 = 71024460

Therefore, the lowest common multiple of 780,107,115,148 is 71024460.

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 107 x 115 x 148 = 1420489200

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

107 : 1, 107

115 : 1, 5, 23, 115

148 : 1, 2, 4, 37, 74, 148

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 780,107,115,148, is 1.

Now, the common factors can be found like this.

780:2x 2x 3x 5x 13

107:107

115:5x 23

148:2x 2x 37

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 5 = 20

Therefore, the value for common factors is 20.

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 = 1420489200/(1x20)

LCM = 1420489200/20

LCM = 71024460

Thus, we can understand that the LCM of 780,107,115,148 is 71024460.

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

• LCM of 156, 135, 710, 915
• LCM of 758, 822, 380, 529
• LCM of 461, 417, 963, 484
• LCM of 208, 199, 912, 865
• LCM of 642, 629, 984, 851

1. What is the LCM of 780, 107, 115, 148?

Answer: LCM of 780, 107, 115, 148 is 71024460.

2. How to calculate the LCM of 780, 107, 115, 148?

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, 107, 115, 148.

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}.