Given numbers are 157,190,119,187,324

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

The LCM of 157,190,119,187,324 is 6325690140.

Find LCM of 157,190,119,187,324 with Prime Factorization

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

2 x 17 x 157 x 95 x 7 x 11 x 162 = 6325690140

Therefore, the lowest common multiple of 157,190,119,187,324 is 6325690140.

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.

157 x 190 x 119 x 187 x 324 = 215073464760

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.

157 : 1, 157

190 : 1, 2, 5, 10, 19, 38, 95, 190

119 : 1, 7, 17, 119

187 : 1, 11, 17, 187

324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 157,190,119,187,324, is 1.

Now, the common factors can be found like this.

157:157

190:2x 5x 19

119:7x 17

187:11x 17

324:2x 2x 3x 3x 3x 3

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

2x 17 = 34

Therefore, the value for common factors is 34.

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 = 215073464760/(1x34)

LCM = 215073464760/34

LCM = 6325690140

Thus, we can understand that the LCM of 157,190,119,187,324 is 6325690140.

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

• LCM of 502, 312, 307, 157, 565
• LCM of 840, 527, 628, 444, 720
• LCM of 319, 523, 240, 493, 851
• LCM of 758, 115, 628, 293, 613
• LCM of 204, 287, 594, 924, 147

1. What is the LCM of 157, 190, 119, 187, 324?

Answer: LCM of 157, 190, 119, 187, 324 is 6325690140.

2. How to calculate the LCM of 157, 190, 119, 187, 324?

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 157, 190, 119, 187, 324.

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}.