Given numbers are 578,735,628

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

The LCM of 578,735,628 is 133396620.

Find LCM of 578,735,628 with Prime Factorization

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

2 x 289 x 735 x 314 = 133396620

Therefore, the lowest common multiple of 578,735,628 is 133396620.

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.

578 x 735 x 628 = 266793240

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.

578 : 1, 2, 17, 34, 289, 578

735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

628 : 1, 2, 4, 157, 314, 628

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 578,735,628, is 1.

Now, the common factors can be found like this.

578:2x 17x 17

735:3x 5x 7x 7

628:2x 2x 157

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 = 266793240/(1x2)

LCM = 266793240/2

LCM = 133396620

Thus, we can understand that the LCM of 578,735,628 is 133396620.

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

• LCM of 349, 648, 738
• LCM of 769, 716, 133
• LCM of 210, 897, 696
• LCM of 677, 909, 127
• LCM of 584, 168, 756

1. What is the LCM of 578, 735, 628?

Answer: LCM of 578, 735, 628 is 133396620.

2. How to calculate the LCM of 578, 735, 628?

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 578, 735, 628.

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}.