Given numbers are 457,914,419,369

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

The LCM of 457,914,419,369 is 141314454.

Find LCM of 457,914,419,369 with Prime Factorization

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

457 x 1 x 2 x 419 x 369 = 141314454

Therefore, the lowest common multiple of 457,914,419,369 is 141314454.

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.

457 x 914 x 419 x 369 = 64580705478

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.

457 : 1, 457

914 : 1, 2, 457, 914

419 : 1, 419

369 : 1, 3, 9, 41, 123, 369

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 457,914,419,369, is 1.

Now, the common factors can be found like this.

457:457

914:2x 457

419:419

369:3x 3x 41

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

457 = 457

Therefore, the value for common factors is 457.

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 = 64580705478/(1x457)

LCM = 64580705478/457

LCM = 141314454

Thus, we can understand that the LCM of 457,914,419,369 is 141314454.

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

• LCM of 659, 670, 534, 335
• LCM of 159, 400, 196, 673
• LCM of 411, 819, 489, 682
• LCM of 543, 654, 427, 801
• LCM of 716, 796, 460, 201

1. What is the LCM of 457, 914, 419, 369?

Answer: LCM of 457, 914, 419, 369 is 141314454.

2. How to calculate the LCM of 457, 914, 419, 369?

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 457, 914, 419, 369.

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}.