Given numbers are 821,974,398,228

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

The LCM of 821,974,398,228 is 18140950644.

Find LCM of 821,974,398,228 with Prime Factorization

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

2 x 821 x 487 x 199 x 114 = 18140950644

Therefore, the lowest common multiple of 821,974,398,228 is 18140950644.

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.

821 x 974 x 398 x 228 = 72563802576

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.

821 : 1, 821

974 : 1, 2, 487, 974

398 : 1, 2, 199, 398

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 821,974,398,228, is 1.

Now, the common factors can be found like this.

821:821

974:2x 487

398:2x 199

228:2x 2x 3x 19

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 72563802576/(1x4)

LCM = 72563802576/4

LCM = 18140950644

Thus, we can understand that the LCM of 821,974,398,228 is 18140950644.

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

• LCM of 620, 567, 204, 468
• LCM of 464, 293, 143, 768
• LCM of 116, 256, 424, 691
• LCM of 895, 163, 755, 146
• LCM of 181, 601, 739, 458

1. What is the LCM of 821, 974, 398, 228?

Answer: LCM of 821, 974, 398, 228 is 18140950644.

2. How to calculate the LCM of 821, 974, 398, 228?

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 821, 974, 398, 228.

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}.