Given numbers are 493,319,825,307

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

The LCM of 493,319,825,307 is 124864575.

Find LCM of 493,319,825,307 with Prime Factorization

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

11 x 29 x 17 x 1 x 75 x 307 = 124864575

Therefore, the lowest common multiple of 493,319,825,307 is 124864575.

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.

493 x 319 x 825 x 307 = 39831799425

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.

493 : 1, 17, 29, 493

319 : 1, 11, 29, 319

825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

307 : 1, 307

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 493,319,825,307, is 1.

Now, the common factors can be found like this.

493:17x 29

319:11x 29

825:3x 5x 5x 11

307:307

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

11x 29 = 319

Therefore, the value for common factors is 319.

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 = 39831799425/(1x319)

LCM = 39831799425/319

LCM = 124864575

Thus, we can understand that the LCM of 493,319,825,307 is 124864575.

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

• LCM of 497, 467, 526, 563
• LCM of 609, 867, 174, 726
• LCM of 881, 298, 129, 781
• LCM of 884, 995, 109, 701
• LCM of 963, 105, 902, 919

1. What is the LCM of 493, 319, 825, 307?

Answer: LCM of 493, 319, 825, 307 is 124864575.

2. How to calculate the LCM of 493, 319, 825, 307?

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 493, 319, 825, 307.

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}.