Given numbers are 266,354,616,420

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

The LCM of 266,354,616,420 is 10358040.

Find LCM of 266,354,616,420 with Prime Factorization

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

2 x 2 x 3 x 7 x 19 x 59 x 22 x 5 = 10358040

Therefore, the lowest common multiple of 266,354,616,420 is 10358040.

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.

266 x 354 x 616 x 420 = 24362110080

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.

266 : 1, 2, 7, 14, 19, 38, 133, 266

354 : 1, 2, 3, 6, 59, 118, 177, 354

616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 266,354,616,420, is 2.

Now, the common factors can be found like this.

266:2x 7x 19

354:2x 3x 59

616:2x 2x 2x 7x 11

420:2x 2x 3x 5x 7

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 3x 7x 7 = 1176

Therefore, the value for common factors is 1176.

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 = 24362110080/(2x1176)

LCM = 24362110080/2352

LCM = 10358040

Thus, we can understand that the LCM of 266,354,616,420 is 10358040.

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

• LCM of 485, 676, 948, 393
• LCM of 342, 988, 808, 774
• LCM of 361, 208, 866, 307
• LCM of 292, 104, 525, 431
• LCM of 122, 671, 751, 866

1. What is the LCM of 266, 354, 616, 420?

Answer: LCM of 266, 354, 616, 420 is 10358040.

2. How to calculate the LCM of 266, 354, 616, 420?

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 266, 354, 616, 420.

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}.