Given numbers are 578,269,746

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

The LCM of 578,269,746 is 57994786.

Find LCM of 578,269,746 with Prime Factorization

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

2 x 289 x 269 x 373 = 57994786

Therefore, the lowest common multiple of 578,269,746 is 57994786.

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 269 x 746 = 115989572

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

269 : 1, 269

746 : 1, 2, 373, 746

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 578,269,746, is 1.

Now, the common factors can be found like this.

578:2x 17x 17

269:269

746:2x 373

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 = 115989572/(1x2)

LCM = 115989572/2

LCM = 57994786

Thus, we can understand that the LCM of 578,269,746 is 57994786.

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

• LCM of 731, 485, 793
• LCM of 587, 228, 642
• LCM of 817, 663, 234
• LCM of 980, 551, 178
• LCM of 701, 896, 878

1. What is the LCM of 578, 269, 746?

Answer: LCM of 578, 269, 746 is 57994786.

2. How to calculate the LCM of 578, 269, 746?

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, 269, 746.

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}.