Given numbers are 398,102,141,149

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

The LCM of 398,102,141,149 is 142146894.

Find LCM of 398,102,141,149 with Prime Factorization

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

2 x 3 x 199 x 17 x 47 x 149 = 142146894

Therefore, the lowest common multiple of 398,102,141,149 is 142146894.

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.

398 x 102 x 141 x 149 = 852881364

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.

398 : 1, 2, 199, 398

102 : 1, 2, 3, 6, 17, 34, 51, 102

141 : 1, 3, 47, 141

149 : 1, 149

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 398,102,141,149, is 1.

Now, the common factors can be found like this.

398:2x 199

102:2x 3x 17

141:3x 47

149:149

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 852881364/(1x6)

LCM = 852881364/6

LCM = 142146894

Thus, we can understand that the LCM of 398,102,141,149 is 142146894.

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

• LCM of 991, 382, 973, 433
• LCM of 301, 339, 154, 687
• LCM of 287, 322, 233, 236
• LCM of 927, 119, 198, 252
• LCM of 415, 694, 498, 930

1. What is the LCM of 398, 102, 141, 149?

Answer: LCM of 398, 102, 141, 149 is 142146894.

2. How to calculate the LCM of 398, 102, 141, 149?

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 398, 102, 141, 149.

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}.