Given numbers are 353,57,189

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

The LCM of 353,57,189 is 1267623.

Find LCM of 353,57,189 with Prime Factorization

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

3 x 353 x 19 x 63 = 1267623

Therefore, the lowest common multiple of 353,57,189 is 1267623.

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.

353 x 57 x 189 = 3802869

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.

353 : 1, 353

57 : 1, 3, 19, 57

189 : 1, 3, 7, 9, 21, 27, 63, 189

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 353,57,189, is 1.

Now, the common factors can be found like this.

353:353

57:3x 19

189:3x 3x 3x 7

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

3 = 3

Therefore, the value for common factors is 3.

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 = 3802869/(1x3)

LCM = 3802869/3

LCM = 1267623

Thus, we can understand that the LCM of 353,57,189 is 1267623.

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

• LCM of 594, 87, 411
• LCM of 253, 51, 977
• LCM of 496, 59, 243
• LCM of 586, 95, 806
• LCM of 267, 87, 671

1. What is the LCM of 353, 57, 189?

Answer: LCM of 353, 57, 189 is 1267623.

2. How to calculate the LCM of 353, 57, 189?

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 353, 57, 189.

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}.