Given numbers are 319,258,143,149

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

The LCM of 319,258,143,149 is 159418974.

Find LCM of 319,258,143,149 with Prime Factorization

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

11 x 29 x 258 x 13 x 149 = 159418974

Therefore, the lowest common multiple of 319,258,143,149 is 159418974.

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.

319 x 258 x 143 x 149 = 1753608714

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.

319 : 1, 11, 29, 319

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

143 : 1, 11, 13, 143

149 : 1, 149

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 319,258,143,149, is 1.

Now, the common factors can be found like this.

319:11x 29

258:2x 3x 43

143:11x 13

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.

11 = 11

Therefore, the value for common factors is 11.

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 = 1753608714/(1x11)

LCM = 1753608714/11

LCM = 159418974

Thus, we can understand that the LCM of 319,258,143,149 is 159418974.

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

• LCM of 439, 665, 863, 150
• LCM of 917, 546, 851, 573
• LCM of 639, 375, 597, 981
• LCM of 509, 825, 372, 609
• LCM of 405, 912, 558, 717

1. What is the LCM of 319, 258, 143, 149?

Answer: LCM of 319, 258, 143, 149 is 159418974.

2. How to calculate the LCM of 319, 258, 143, 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 319, 258, 143, 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}.