Given numbers are 951,273,975,952,814

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

The LCM of 951,273,975,952,814 is 119755435800.

Find LCM of 951,273,975,952,814 with Prime Factorization

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

2 x 3 x 7 x 13 x 317 x 1 x 25 x 68 x 407 = 119755435800

Therefore, the lowest common multiple of 951,273,975,952,814 is 119755435800.

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.

951 x 273 x 975 x 952 x 814 = 196159403840400

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.

951 : 1, 3, 317, 951

273 : 1, 3, 7, 13, 21, 39, 91, 273

975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

814 : 1, 2, 11, 22, 37, 74, 407, 814

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 951,273,975,952,814, is 1.

Now, the common factors can be found like this.

951:3x 317

273:3x 7x 13

975:3x 5x 5x 13

952:2x 2x 2x 7x 17

814:2x 11x 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 3x 3x 7x 13 = 1638

Therefore, the value for common factors is 1638.

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 = 196159403840400/(1x1638)

LCM = 196159403840400/1638

LCM = 119755435800

Thus, we can understand that the LCM of 951,273,975,952,814 is 119755435800.

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

• LCM of 694, 137, 800, 196, 394
• LCM of 290, 866, 343, 145, 341
• LCM of 380, 860, 853, 432, 717
• LCM of 914, 645, 245, 345, 958
• LCM of 952, 167, 192, 461, 269

1. What is the LCM of 951, 273, 975, 952, 814?

Answer: LCM of 951, 273, 975, 952, 814 is 119755435800.

2. How to calculate the LCM of 951, 273, 975, 952, 814?

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 951, 273, 975, 952, 814.

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}.