Given numbers are 28,14,21,21,557

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

The LCM of 28,14,21,21,557 is 46788.

Find LCM of 28,14,21,21,557 with Prime Factorization

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

2 x 3 x 7 x 2 x 1 x 1 x 1 x 557 = 46788

Therefore, the lowest common multiple of 28,14,21,21,557 is 46788.

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.

28 x 14 x 21 x 21 x 557 = 96289704

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.

28 : 1, 2, 4, 7, 14, 28

14 : 1, 2, 7, 14

21 : 1, 3, 7, 21

21 : 1, 3, 7, 21

557 : 1, 557

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 28,14,21,21,557, is 1.

Now, the common factors can be found like this.

28:2x 2x 7

14:2x 7

21:3x 7

21:3x 7

557:557

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

2x 3x 7x 7x 7 = 2058

Therefore, the value for common factors is 2058.

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 = 96289704/(1x2058)

LCM = 96289704/2058

LCM = 46788

Thus, we can understand that the LCM of 28,14,21,21,557 is 46788.

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

• LCM of 16, 72, 33, 78, 590
• LCM of 97, 20, 31, 82, 570
• LCM of 81, 50, 11, 79, 251
• LCM of 73, 67, 58, 32, 624
• LCM of 77, 47, 61, 90, 751

1. What is the LCM of 28, 14, 21, 21, 557?

Answer: LCM of 28, 14, 21, 21, 557 is 46788.

2. How to calculate the LCM of 28, 14, 21, 21, 557?

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 28, 14, 21, 21, 557.

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}.