Given numbers are 353,91,312

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

The LCM of 353,91,312 is 770952.

Find LCM of 353,91,312 with Prime Factorization

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

13 x 353 x 7 x 24 = 770952

Therefore, the lowest common multiple of 353,91,312 is 770952.

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.

353 x 91 x 312 = 10022376

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.

353 : 1, 353

91 : 1, 7, 13, 91

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 353,91,312, is 1.

Now, the common factors can be found like this.

353:353

91:7x 13

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.

13 = 13

Therefore, the value for common factors is 13.

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 = 10022376/(1x13)

LCM = 10022376/13

LCM = 770952

Thus, we can understand that the LCM of 353,91,312 is 770952.

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

• LCM of 646, 83, 349
• LCM of 687, 51, 469
• LCM of 556, 66, 525
• LCM of 268, 11, 216
• LCM of 369, 65, 407

1. What is the LCM of 353, 91, 312?

Answer: LCM of 353, 91, 312 is 770952.

2. How to calculate the LCM of 353, 91, 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 353, 91, 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}.