Given numbers are 198,144,193,168,726

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

The LCM of 198,144,193,168,726 is 23539824.

Find LCM of 198,144,193,168,726 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 11 x 1 x 2 x 193 x 7 x 11 = 23539824

Therefore, the lowest common multiple of 198,144,193,168,726 is 23539824.

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.

198 x 144 x 193 x 168 x 726 = 671167461888

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.

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

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

193 : 1, 193

168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 198,144,193,168,726, is 1.

Now, the common factors can be found like this.

198:2x 3x 3x 11

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

193:193

168:2x 2x 2x 3x 7

726:2x 3x 11x 11

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 2x 2x 2x 3x 3x 3x 3x 11 = 28512

Therefore, the value for common factors is 28512.

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 = 671167461888/(1x28512)

LCM = 671167461888/28512

LCM = 23539824

Thus, we can understand that the LCM of 198,144,193,168,726 is 23539824.

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

• LCM of 391, 634, 224, 320, 488
• LCM of 371, 396, 143, 182, 688
• LCM of 196, 469, 829, 264, 387
• LCM of 983, 906, 487, 150, 164
• LCM of 648, 900, 119, 768, 840

1. What is the LCM of 198, 144, 193, 168, 726?

Answer: LCM of 198, 144, 193, 168, 726 is 23539824.

2. How to calculate the LCM of 198, 144, 193, 168, 726?

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 198, 144, 193, 168, 726.

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}.