Given numbers are 101,412,312,331

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

The LCM of 101,412,312,331 is 1074338616.

Find LCM of 101,412,312,331 with Prime Factorization

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

2 x 2 x 101 x 103 x 78 x 331 = 1074338616

Therefore, the lowest common multiple of 101,412,312,331 is 1074338616.

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.

101 x 412 x 312 x 331 = 4297354464

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.

101 : 1, 101

412 : 1, 2, 4, 103, 206, 412

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

331 : 1, 331

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 101,412,312,331, is 1.

Now, the common factors can be found like this.

101:101

412:2x 2x 103

312:2x 2x 2x 3x 13

331:331

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 4297354464/(1x4)

LCM = 4297354464/4

LCM = 1074338616

Thus, we can understand that the LCM of 101,412,312,331 is 1074338616.

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

• LCM of 443, 332, 919, 102
• LCM of 346, 984, 104, 518
• LCM of 893, 767, 554, 690
• LCM of 458, 278, 453, 434
• LCM of 403, 650, 748, 362

1. What is the LCM of 101, 412, 312, 331?

Answer: LCM of 101, 412, 312, 331 is 1074338616.

2. How to calculate the LCM of 101, 412, 312, 331?

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 101, 412, 312, 331.

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}.