Given numbers are 258,946,580,149

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

The LCM of 258,946,580,149 is 122629980.

Find LCM of 258,946,580,149 with Prime Factorization

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

2 x 43 x 3 x 11 x 290 x 149 = 122629980

Therefore, the lowest common multiple of 258,946,580,149 is 122629980.

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.

258 x 946 x 580 x 149 = 21092356560

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.

258 : 1, 2, 3, 6, 43, 86, 129, 258

946 : 1, 2, 11, 22, 43, 86, 473, 946

580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

149 : 1, 149

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 258,946,580,149, is 1.

Now, the common factors can be found like this.

258:2x 3x 43

946:2x 11x 43

580:2x 2x 5x 29

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 43 = 172

Therefore, the value for common factors is 172.

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 = 21092356560/(1x172)

LCM = 21092356560/172

LCM = 122629980

Thus, we can understand that the LCM of 258,946,580,149 is 122629980.

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

• LCM of 223, 931, 853, 174
• LCM of 889, 412, 185, 736
• LCM of 916, 482, 167, 216
• LCM of 893, 933, 150, 854
• LCM of 868, 303, 787, 895

1. What is the LCM of 258, 946, 580, 149?

Answer: LCM of 258, 946, 580, 149 is 122629980.

2. How to calculate the LCM of 258, 946, 580, 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 258, 946, 580, 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}.