Given numbers are 498,194,144,149,137

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

The LCM of 498,194,144,149,137 is 23665689072.

Find LCM of 498,194,144,149,137 with Prime Factorization

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

2 x 3 x 83 x 97 x 24 x 149 x 137 = 23665689072

Therefore, the lowest common multiple of 498,194,144,149,137 is 23665689072.

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.

498 x 194 x 144 x 149 x 137 = 283988268864

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.

498 : 1, 2, 3, 6, 83, 166, 249, 498

194 : 1, 2, 97, 194

144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

149 : 1, 149

137 : 1, 137

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 498,194,144,149,137, is 1.

Now, the common factors can be found like this.

498:2x 3x 83

194:2x 97

144:2x 2x 2x 2x 3x 3

149:149

137:137

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

2x 2x 3 = 12

Therefore, the value for common factors is 12.

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 = 283988268864/(1x12)

LCM = 283988268864/12

LCM = 23665689072

Thus, we can understand that the LCM of 498,194,144,149,137 is 23665689072.

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

• LCM of 642, 283, 704, 142, 911
• LCM of 456, 731, 737, 118, 946
• LCM of 251, 859, 400, 548, 159
• LCM of 276, 693, 468, 181, 696
• LCM of 728, 715, 992, 797, 806

1. What is the LCM of 498, 194, 144, 149, 137?

Answer: LCM of 498, 194, 144, 149, 137 is 23665689072.

2. How to calculate the LCM of 498, 194, 144, 149, 137?

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 498, 194, 144, 149, 137.

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}.