Given numbers are 433,363,528,714

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

The LCM of 433,363,528,714 is 299268816.

Find LCM of 433,363,528,714 with Prime Factorization

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

2 x 3 x 11 x 433 x 11 x 8 x 119 = 299268816

Therefore, the lowest common multiple of 433,363,528,714 is 299268816.

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.

433 x 363 x 528 x 714 = 59255225568

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.

433 : 1, 433

363 : 1, 3, 11, 33, 121, 363

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 433,363,528,714, is 1.

Now, the common factors can be found like this.

433:433

363:3x 11x 11

528:2x 2x 2x 2x 3x 11

714:2x 3x 7x 17

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

2x 3x 3x 11 = 198

Therefore, the value for common factors is 198.

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 = 59255225568/(1x198)

LCM = 59255225568/198

LCM = 299268816

Thus, we can understand that the LCM of 433,363,528,714 is 299268816.

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

• LCM of 983, 714, 610, 946
• LCM of 833, 525, 455, 255
• LCM of 824, 945, 445, 412
• LCM of 695, 913, 401, 626
• LCM of 256, 946, 335, 540

1. What is the LCM of 433, 363, 528, 714?

Answer: LCM of 433, 363, 528, 714 is 299268816.

2. How to calculate the LCM of 433, 363, 528, 714?

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 433, 363, 528, 714.

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}.