Given numbers are 145,142,177,413

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

The LCM of 145,142,177,413 is 25511010.

Find LCM of 145,142,177,413 with Prime Factorization

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

59 x 145 x 142 x 3 x 7 = 25511010

Therefore, the lowest common multiple of 145,142,177,413 is 25511010.

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.

145 x 142 x 177 x 413 = 1505149590

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.

145 : 1, 5, 29, 145

142 : 1, 2, 71, 142

177 : 1, 3, 59, 177

413 : 1, 7, 59, 413

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 145,142,177,413, is 1.

Now, the common factors can be found like this.

145:5x 29

142:2x 71

177:3x 59

413:7x 59

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

59 = 59

Therefore, the value for common factors is 59.

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 = 1505149590/(1x59)

LCM = 1505149590/59

LCM = 25511010

Thus, we can understand that the LCM of 145,142,177,413 is 25511010.

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

• LCM of 210, 566, 956, 292
• LCM of 790, 913, 509, 544
• LCM of 337, 417, 876, 563
• LCM of 200, 812, 603, 333
• LCM of 587, 664, 475, 185

1. What is the LCM of 145, 142, 177, 413?

Answer: LCM of 145, 142, 177, 413 is 25511010.

2. How to calculate the LCM of 145, 142, 177, 413?

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 145, 142, 177, 413.

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}.