Given numbers are 393,262,419,689

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

The LCM of 393,262,419,689 is 226911126.

Find LCM of 393,262,419,689 with Prime Factorization

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

131 x 3 x 2 x 419 x 689 = 226911126

Therefore, the lowest common multiple of 393,262,419,689 is 226911126.

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.

393 x 262 x 419 x 689 = 29725357506

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.

393 : 1, 3, 131, 393

262 : 1, 2, 131, 262

419 : 1, 419

689 : 1, 13, 53, 689

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 393,262,419,689, is 1.

Now, the common factors can be found like this.

393:3x 131

262:2x 131

419:419

689:13x 53

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

131 = 131

Therefore, the value for common factors is 131.

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 = 29725357506/(1x131)

LCM = 29725357506/131

LCM = 226911126

Thus, we can understand that the LCM of 393,262,419,689 is 226911126.

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

• LCM of 748, 146, 648, 884
• LCM of 986, 183, 598, 315
• LCM of 421, 348, 821, 576
• LCM of 370, 927, 800, 333
• LCM of 116, 371, 797, 278

1. What is the LCM of 393, 262, 419, 689?

Answer: LCM of 393, 262, 419, 689 is 226911126.

2. How to calculate the LCM of 393, 262, 419, 689?

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 393, 262, 419, 689.

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}.