Given numbers are 13,98,22,27,400

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

The LCM of 13,98,22,27,400 is 75675600.

Find LCM of 13,98,22,27,400 with Prime Factorization

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

2 x 13 x 49 x 11 x 27 x 200 = 75675600

Therefore, the lowest common multiple of 13,98,22,27,400 is 75675600.

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.

13 x 98 x 22 x 27 x 400 = 302702400

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.

13 : 1, 13

98 : 1, 2, 7, 14, 49, 98

22 : 1, 2, 11, 22

27 : 1, 3, 9, 27

400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 13,98,22,27,400, is 1.

Now, the common factors can be found like this.

13:13

98:2x 7x 7

22:2x 11

27:3x 3x 3

400:2x 2x 2x 2x 5x 5

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 = 302702400/(1x4)

LCM = 302702400/4

LCM = 75675600

Thus, we can understand that the LCM of 13,98,22,27,400 is 75675600.

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

• LCM of 52, 81, 39, 94, 871
• LCM of 17, 84, 17, 75, 791
• LCM of 53, 23, 41, 25, 847
• LCM of 20, 18, 42, 53, 379
• LCM of 29, 77, 70, 89, 305

1. What is the LCM of 13, 98, 22, 27, 400?

Answer: LCM of 13, 98, 22, 27, 400 is 75675600.

2. How to calculate the LCM of 13, 98, 22, 27, 400?

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 13, 98, 22, 27, 400.

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}.