Given numbers are 420,208,563,133

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

The LCM of 420,208,563,133 is 233622480.

Find LCM of 420,208,563,133 with Prime Factorization

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

2 x 2 x 7 x 15 x 52 x 563 x 19 = 233622480

Therefore, the lowest common multiple of 420,208,563,133 is 233622480.

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.

420 x 208 x 563 x 133 = 6541429440

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.

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

563 : 1, 563

133 : 1, 7, 19, 133

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,208,563,133, is 1.

Now, the common factors can be found like this.

420:2x 2x 3x 5x 7

208:2x 2x 2x 2x 13

563:563

133:7x 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 2x 7 = 28

Therefore, the value for common factors is 28.

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 = 6541429440/(1x28)

LCM = 6541429440/28

LCM = 233622480

Thus, we can understand that the LCM of 420,208,563,133 is 233622480.

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

• LCM of 201, 536, 733, 951
• LCM of 946, 152, 407, 310
• LCM of 771, 429, 902, 242
• LCM of 402, 666, 492, 196
• LCM of 565, 242, 402, 985

1. What is the LCM of 420, 208, 563, 133?

Answer: LCM of 420, 208, 563, 133 is 233622480.

2. How to calculate the LCM of 420, 208, 563, 133?

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 420, 208, 563, 133.

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}.