Given numbers are 456,180,194,821

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

The LCM of 456,180,194,821 is 544717080.

Find LCM of 456,180,194,821 with Prime Factorization

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

2 x 2 x 3 x 38 x 15 x 97 x 821 = 544717080

Therefore, the lowest common multiple of 456,180,194,821 is 544717080.

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.

456 x 180 x 194 x 821 = 13073209920

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.

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

194 : 1, 2, 97, 194

821 : 1, 821

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 456,180,194,821, is 1.

Now, the common factors can be found like this.

456:2x 2x 2x 3x 19

180:2x 2x 3x 3x 5

194:2x 97

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.

2x 2x 2x 3 = 24

Therefore, the value for common factors is 24.

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 = 13073209920/(1x24)

LCM = 13073209920/24

LCM = 544717080

Thus, we can understand that the LCM of 456,180,194,821 is 544717080.

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

• LCM of 303, 107, 938, 109
• LCM of 395, 942, 822, 724
• LCM of 783, 566, 946, 627
• LCM of 384, 614, 412, 841
• LCM of 970, 986, 765, 671

1. What is the LCM of 456, 180, 194, 821?

Answer: LCM of 456, 180, 194, 821 is 544717080.

2. How to calculate the LCM of 456, 180, 194, 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 456, 180, 194, 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}.