Given numbers are 148,657,750,129,198

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

The LCM of 148,657,750,129,198 is 5749078500.

Find LCM of 148,657,750,129,198 with Prime Factorization

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

2 x 3 x 3 x 74 x 73 x 125 x 43 x 11 = 5749078500

Therefore, the lowest common multiple of 148,657,750,129,198 is 5749078500.

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.

148 x 657 x 750 x 129 x 198 = 1862701434000

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.

148 : 1, 2, 4, 37, 74, 148

657 : 1, 3, 9, 73, 219, 657

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

129 : 1, 3, 43, 129

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 148,657,750,129,198, is 1.

Now, the common factors can be found like this.

148:2x 2x 37

657:3x 3x 73

750:2x 3x 5x 5x 5

129:3x 43

198:2x 3x 3x 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 3x 3x 3x 3 = 324

Therefore, the value for common factors is 324.

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 = 1862701434000/(1x324)

LCM = 1862701434000/324

LCM = 5749078500

Thus, we can understand that the LCM of 148,657,750,129,198 is 5749078500.

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

• LCM of 161, 896, 234, 236, 595
• LCM of 868, 464, 335, 173, 777
• LCM of 730, 177, 899, 384, 892
• LCM of 413, 231, 126, 622, 723
• LCM of 220, 678, 365, 540, 378

1. What is the LCM of 148, 657, 750, 129, 198?

Answer: LCM of 148, 657, 750, 129, 198 is 5749078500.

2. How to calculate the LCM of 148, 657, 750, 129, 198?

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 148, 657, 750, 129, 198.

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}.