Given numbers are 468,746,395

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

The LCM of 468,746,395 is 68952780.

Find LCM of 468,746,395 with Prime Factorization

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

2 x 234 x 373 x 395 = 68952780

Therefore, the lowest common multiple of 468,746,395 is 68952780.

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.

468 x 746 x 395 = 137905560

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.

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

746 : 1, 2, 373, 746

395 : 1, 5, 79, 395

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 468,746,395, is 1.

Now, the common factors can be found like this.

468:2x 2x 3x 3x 13

746:2x 373

395:5x 79

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

2 = 2

Therefore, the value for common factors is 2.

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 = 137905560/(1x2)

LCM = 137905560/2

LCM = 68952780

Thus, we can understand that the LCM of 468,746,395 is 68952780.

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

• LCM of 789, 480, 717
• LCM of 839, 417, 406
• LCM of 173, 309, 790
• LCM of 363, 129, 734
• LCM of 478, 856, 889

1. What is the LCM of 468, 746, 395?

Answer: LCM of 468, 746, 395 is 68952780.

2. How to calculate the LCM of 468, 746, 395?

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 468, 746, 395.

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}.