Given numbers are 57,23,43,21,344

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

The LCM of 57,23,43,21,344 is 3156888.

Find LCM of 57,23,43,21,344 with Prime Factorization

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

3 x 43 x 19 x 23 x 1 x 7 x 8 = 3156888

Therefore, the lowest common multiple of 57,23,43,21,344 is 3156888.

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.

57 x 23 x 43 x 21 x 344 = 407238552

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.

57 : 1, 3, 19, 57

23 : 1, 23

43 : 1, 43

21 : 1, 3, 7, 21

344 : 1, 2, 4, 8, 43, 86, 172, 344

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 57,23,43,21,344, is 1.

Now, the common factors can be found like this.

57:3x 19

23:23

43:43

21:3x 7

344:2x 2x 2x 43

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

3x 43 = 129

Therefore, the value for common factors is 129.

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 = 407238552/(1x129)

LCM = 407238552/129

LCM = 3156888

Thus, we can understand that the LCM of 57,23,43,21,344 is 3156888.

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

• LCM of 53, 28, 98, 95, 384
• LCM of 47, 41, 72, 66, 426
• LCM of 35, 49, 26, 23, 127
• LCM of 18, 70, 25, 80, 134
• LCM of 29, 93, 90, 20, 978

1. What is the LCM of 57, 23, 43, 21, 344?

Answer: LCM of 57, 23, 43, 21, 344 is 3156888.

2. How to calculate the LCM of 57, 23, 43, 21, 344?

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 57, 23, 43, 21, 344.

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}.