Given numbers are 497,978,468

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

The LCM of 497,978,468 is 37913148.

Find LCM of 497,978,468 with Prime Factorization

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

2 x 3 x 497 x 163 x 78 = 37913148

Therefore, the lowest common multiple of 497,978,468 is 37913148.

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.

497 x 978 x 468 = 227478888

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.

497 : 1, 7, 71, 497

978 : 1, 2, 3, 6, 163, 326, 489, 978

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 497,978,468, is 1.

Now, the common factors can be found like this.

497:7x 71

978:2x 3x 163

468:2x 2x 3x 3x 13

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 227478888/(1x6)

LCM = 227478888/6

LCM = 37913148

Thus, we can understand that the LCM of 497,978,468 is 37913148.

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

• LCM of 832, 519, 170
• LCM of 695, 427, 945
• LCM of 429, 142, 393
• LCM of 631, 655, 722
• LCM of 558, 712, 517

1. What is the LCM of 497, 978, 468?

Answer: LCM of 497, 978, 468 is 37913148.

2. How to calculate the LCM of 497, 978, 468?

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 497, 978, 468.

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}.