Given numbers are 351,460,233,364

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

The LCM of 351,460,233,364 is 263341260.

Find LCM of 351,460,233,364 with Prime Factorization

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

2 x 2 x 13 x 27 x 115 x 233 x 7 = 263341260

Therefore, the lowest common multiple of 351,460,233,364 is 263341260.

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.

351 x 460 x 233 x 364 = 13693745520

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.

351 : 1, 3, 9, 13, 27, 39, 117, 351

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

233 : 1, 233

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 351,460,233,364, is 1.

Now, the common factors can be found like this.

351:3x 3x 3x 13

460:2x 2x 5x 23

233:233

364:2x 2x 7x 13

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 13 = 52

Therefore, the value for common factors is 52.

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 = 13693745520/(1x52)

LCM = 13693745520/52

LCM = 263341260

Thus, we can understand that the LCM of 351,460,233,364 is 263341260.

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

• LCM of 626, 778, 466, 722
• LCM of 590, 801, 684, 565
• LCM of 920, 500, 563, 718
• LCM of 481, 166, 343, 631
• LCM of 795, 329, 745, 370

1. What is the LCM of 351, 460, 233, 364?

Answer: LCM of 351, 460, 233, 364 is 263341260.

2. How to calculate the LCM of 351, 460, 233, 364?

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 351, 460, 233, 364.

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}.