Given numbers are 978,812,821

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

The LCM of 978,812,821 is 325992828.

Find LCM of 978,812,821 with Prime Factorization

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

2 x 489 x 406 x 821 = 325992828

Therefore, the lowest common multiple of 978,812,821 is 325992828.

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.

978 x 812 x 821 = 651985656

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.

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

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

821 : 1, 821

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 978,812,821, is 1.

Now, the common factors can be found like this.

978:2x 3x 163

812:2x 2x 7x 29

821:821

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 = 651985656/(1x2)

LCM = 651985656/2

LCM = 325992828

Thus, we can understand that the LCM of 978,812,821 is 325992828.

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

• LCM of 978, 844, 758
• LCM of 655, 308, 194
• LCM of 873, 824, 231
• LCM of 692, 853, 860
• LCM of 793, 329, 850

1. What is the LCM of 978, 812, 821?

Answer: LCM of 978, 812, 821 is 325992828.

2. How to calculate the LCM of 978, 812, 821?

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 978, 812, 821.

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}.