Given numbers are 812,491,356,978

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

The LCM of 812,491,356,978 is 17351474532.

Find LCM of 812,491,356,978 with Prime Factorization

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

2 x 2 x 203 x 491 x 89 x 489 = 17351474532

Therefore, the lowest common multiple of 812,491,356,978 is 17351474532.

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.

812 x 491 x 356 x 978 = 138811796256

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.

812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

491 : 1, 491

356 : 1, 2, 4, 89, 178, 356

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 812,491,356,978, is 1.

Now, the common factors can be found like this.

812:2x 2x 7x 29

491:491

356:2x 2x 89

978:2x 3x 163

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

2x 2x 2 = 8

Therefore, the value for common factors is 8.

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 = 138811796256/(1x8)

LCM = 138811796256/8

LCM = 17351474532

Thus, we can understand that the LCM of 812,491,356,978 is 17351474532.

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

• LCM of 742, 795, 538, 218
• LCM of 844, 563, 175, 808
• LCM of 435, 899, 978, 238
• LCM of 139, 147, 298, 752
• LCM of 470, 359, 800, 233

1. What is the LCM of 812, 491, 356, 978?

Answer: LCM of 812, 491, 356, 978 is 17351474532.

2. How to calculate the LCM of 812, 491, 356, 978?

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 812, 491, 356, 978.

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}.