Given numbers are 283,393,375,714,723

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

The LCM of 283,393,375,714,723 is 797412425250.

Find LCM of 283,393,375,714,723 with Prime Factorization

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

3 x 283 x 131 x 125 x 238 x 241 = 797412425250

Therefore, the lowest common multiple of 283,393,375,714,723 is 797412425250.

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.

283 x 393 x 375 x 714 x 723 = 21530135481750

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.

283 : 1, 283

393 : 1, 3, 131, 393

375 : 1, 3, 5, 15, 25, 75, 125, 375

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

723 : 1, 3, 241, 723

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 283,393,375,714,723, is 1.

Now, the common factors can be found like this.

283:283

393:3x 131

375:3x 5x 5x 5

714:2x 3x 7x 17

723:3x 241

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

3x 3x 3 = 27

Therefore, the value for common factors is 27.

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 = 21530135481750/(1x27)

LCM = 21530135481750/27

LCM = 797412425250

Thus, we can understand that the LCM of 283,393,375,714,723 is 797412425250.

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

• LCM of 420, 242, 833, 412, 771
• LCM of 619, 784, 386, 714, 901
• LCM of 165, 593, 662, 192, 973
• LCM of 872, 738, 555, 256, 626
• LCM of 172, 702, 385, 859, 938

1. What is the LCM of 283, 393, 375, 714, 723?

Answer: LCM of 283, 393, 375, 714, 723 is 797412425250.

2. How to calculate the LCM of 283, 393, 375, 714, 723?

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 283, 393, 375, 714, 723.

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}.