Given numbers are 171,514,142,361

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

The LCM of 171,514,142,361 is 118569006.

Find LCM of 171,514,142,361 with Prime Factorization

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

2 x 19 x 9 x 257 x 71 x 19 = 118569006

Therefore, the lowest common multiple of 171,514,142,361 is 118569006.

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.

171 x 514 x 142 x 361 = 4505622228

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.

171 : 1, 3, 9, 19, 57, 171

514 : 1, 2, 257, 514

142 : 1, 2, 71, 142

361 : 1, 19, 361

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 171,514,142,361, is 1.

Now, the common factors can be found like this.

171:3x 3x 19

514:2x 257

142:2x 71

361:19x 19

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

2x 19 = 38

Therefore, the value for common factors is 38.

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 = 4505622228/(1x38)

LCM = 4505622228/38

LCM = 118569006

Thus, we can understand that the LCM of 171,514,142,361 is 118569006.

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

• LCM of 886, 161, 603, 380
• LCM of 717, 491, 747, 338
• LCM of 536, 473, 884, 238
• LCM of 810, 497, 636, 604
• LCM of 786, 578, 823, 865

1. What is the LCM of 171, 514, 142, 361?

Answer: LCM of 171, 514, 142, 361 is 118569006.

2. How to calculate the LCM of 171, 514, 142, 361?

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 171, 514, 142, 361.

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}.