Given numbers are 819,969,148,115,357

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

The LCM of 819,969,148,115,357 is 4502419740.

Find LCM of 819,969,148,115,357 with Prime Factorization

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

3 x 7 x 17 x 39 x 19 x 148 x 115 x 1 = 4502419740

Therefore, the lowest common multiple of 819,969,148,115,357 is 4502419740.

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.

819 x 969 x 148 x 115 x 357 = 4822091541540

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.

819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

969 : 1, 3, 17, 19, 51, 57, 323, 969

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

115 : 1, 5, 23, 115

357 : 1, 3, 7, 17, 21, 51, 119, 357

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 819,969,148,115,357, is 1.

Now, the common factors can be found like this.

819:3x 3x 7x 13

969:3x 17x 19

148:2x 2x 37

115:5x 23

357:3x 7x 17

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 3x 7x 17 = 1071

Therefore, the value for common factors is 1071.

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 = 4822091541540/(1x1071)

LCM = 4822091541540/1071

LCM = 4502419740

Thus, we can understand that the LCM of 819,969,148,115,357 is 4502419740.

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

• LCM of 186, 562, 729, 219, 979
• LCM of 376, 109, 305, 199, 763
• LCM of 410, 340, 696, 149, 201
• LCM of 687, 742, 162, 847, 195
• LCM of 813, 905, 478, 807, 342

1. What is the LCM of 819, 969, 148, 115, 357?

Answer: LCM of 819, 969, 148, 115, 357 is 4502419740.

2. How to calculate the LCM of 819, 969, 148, 115, 357?

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 819, 969, 148, 115, 357.

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}.