Given numbers are 418,342,134,980,149

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

The LCM of 418,342,134,980,149 is 18402462540.

Find LCM of 418,342,134,980,149 with Prime Factorization

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

2 x 19 x 11 x 9 x 67 x 490 x 149 = 18402462540

Therefore, the lowest common multiple of 418,342,134,980,149 is 18402462540.

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.

418 x 342 x 134 x 980 x 149 = 2797174306080

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.

418 : 1, 2, 11, 19, 22, 38, 209, 418

342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

134 : 1, 2, 67, 134

980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

149 : 1, 149

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 418,342,134,980,149, is 1.

Now, the common factors can be found like this.

418:2x 11x 19

342:2x 3x 3x 19

134:2x 67

980:2x 2x 5x 7x 7

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 2x 2x 19 = 152

Therefore, the value for common factors is 152.

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 = 2797174306080/(1x152)

LCM = 2797174306080/152

LCM = 18402462540

Thus, we can understand that the LCM of 418,342,134,980,149 is 18402462540.

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

• LCM of 541, 871, 262, 891, 948
• LCM of 548, 243, 848, 700, 116
• LCM of 872, 982, 987, 476, 530
• LCM of 612, 678, 601, 755, 276
• LCM of 898, 344, 919, 911, 460

1. What is the LCM of 418, 342, 134, 980, 149?

Answer: LCM of 418, 342, 134, 980, 149 is 18402462540.

2. How to calculate the LCM of 418, 342, 134, 980, 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 418, 342, 134, 980, 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}.