Given numbers are 598,21,195

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

The LCM of 598,21,195 is 62790.

Find LCM of 598,21,195 with Prime Factorization

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

3 x 13 x 46 x 7 x 5 = 62790

Therefore, the lowest common multiple of 598,21,195 is 62790.

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.

598 x 21 x 195 = 2448810

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.

598 : 1, 2, 13, 23, 26, 46, 299, 598

21 : 1, 3, 7, 21

195 : 1, 3, 5, 13, 15, 39, 65, 195

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 598,21,195, is 1.

Now, the common factors can be found like this.

598:2x 13x 23

21:3x 7

195:3x 5x 13

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

3x 13 = 39

Therefore, the value for common factors is 39.

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 = 2448810/(1x39)

LCM = 2448810/39

LCM = 62790

Thus, we can understand that the LCM of 598,21,195 is 62790.

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

• LCM of 892, 67, 734
• LCM of 608, 78, 644
• LCM of 976, 61, 168
• LCM of 260, 11, 368
• LCM of 562, 23, 512

1. What is the LCM of 598, 21, 195?

Answer: LCM of 598, 21, 195 is 62790.

2. How to calculate the LCM of 598, 21, 195?

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 598, 21, 195.

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}.