Given numbers are 401,190,312

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

The LCM of 401,190,312 is 11885640.

Find LCM of 401,190,312 with Prime Factorization

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

2 x 401 x 95 x 156 = 11885640

Therefore, the lowest common multiple of 401,190,312 is 11885640.

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.

401 x 190 x 312 = 23771280

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.

401 : 1, 401

190 : 1, 2, 5, 10, 19, 38, 95, 190

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 401,190,312, is 1.

Now, the common factors can be found like this.

401:401

190:2x 5x 19

312:2x 2x 2x 3x 13

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

2 = 2

Therefore, the value for common factors is 2.

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 = 23771280/(1x2)

LCM = 23771280/2

LCM = 11885640

Thus, we can understand that the LCM of 401,190,312 is 11885640.

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

• LCM of 755, 506, 500
• LCM of 761, 742, 848
• LCM of 276, 289, 922
• LCM of 769, 382, 957
• LCM of 897, 524, 879

1. What is the LCM of 401, 190, 312?

Answer: LCM of 401, 190, 312 is 11885640.

2. How to calculate the LCM of 401, 190, 312?

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 401, 190, 312.

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}.