Given numbers are 813,214,748,36

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

The LCM of 813,214,748,36 is 195207804.

Find LCM of 813,214,748,36 with Prime Factorization

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

2 x 2 x 3 x 271 x 107 x 187 x 3 = 195207804

Therefore, the lowest common multiple of 813,214,748,36 is 195207804.

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.

813 x 214 x 748 x 36 = 4684987296

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.

813 : 1, 3, 271, 813

214 : 1, 2, 107, 214

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

36 : 1, 2, 3, 4, 6, 9, 12, 18, 36

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 813,214,748,36, is 1.

Now, the common factors can be found like this.

813:3x 271

214:2x 107

748:2x 2x 11x 17

36:2x 2x 3x 3

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 3 = 24

Therefore, the value for common factors is 24.

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 = 4684987296/(1x24)

LCM = 4684987296/24

LCM = 195207804

Thus, we can understand that the LCM of 813,214,748,36 is 195207804.

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

• LCM of 613, 359, 250, 86
• LCM of 435, 516, 588, 55
• LCM of 504, 933, 839, 54
• LCM of 105, 971, 453, 68
• LCM of 102, 103, 167, 25

1. What is the LCM of 813, 214, 748, 36?

Answer: LCM of 813, 214, 748, 36 is 195207804.

2. How to calculate the LCM of 813, 214, 748, 36?

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 813, 214, 748, 36.

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}.