Given numbers are 172,112,552,292,435

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

The LCM of 172,112,552,292,435 is 3517437840.

Find LCM of 172,112,552,292,435 with Prime Factorization

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

2 x 2 x 2 x 3 x 43 x 14 x 23 x 73 x 145 = 3517437840

Therefore, the lowest common multiple of 172,112,552,292,435 is 3517437840.

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.

172 x 112 x 552 x 292 x 435 = 1350696130560

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.

172 : 1, 2, 4, 43, 86, 172

112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

292 : 1, 2, 4, 73, 146, 292

435 : 1, 3, 5, 15, 29, 87, 145, 435

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 172,112,552,292,435, is 1.

Now, the common factors can be found like this.

172:2x 2x 43

112:2x 2x 2x 2x 7

552:2x 2x 2x 3x 23

292:2x 2x 73

435:3x 5x 29

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 2x 2x 2x 2x 3 = 384

Therefore, the value for common factors is 384.

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 = 1350696130560/(1x384)

LCM = 1350696130560/384

LCM = 3517437840

Thus, we can understand that the LCM of 172,112,552,292,435 is 3517437840.

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

• LCM of 873, 961, 718, 825, 665
• LCM of 146, 449, 828, 893, 601
• LCM of 409, 140, 744, 952, 613
• LCM of 758, 654, 830, 866, 699
• LCM of 878, 604, 386, 882, 634

1. What is the LCM of 172, 112, 552, 292, 435?

Answer: LCM of 172, 112, 552, 292, 435 is 3517437840.

2. How to calculate the LCM of 172, 112, 552, 292, 435?

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 172, 112, 552, 292, 435.

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}.