Given numbers are 174,528,497,10

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

The LCM of 174,528,497,10 is 38050320.

Find LCM of 174,528,497,10 with Prime Factorization

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

2 x 3 x 29 x 88 x 497 x 5 = 38050320

Therefore, the lowest common multiple of 174,528,497,10 is 38050320.

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.

174 x 528 x 497 x 10 = 456603840

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.

174 : 1, 2, 3, 6, 29, 58, 87, 174

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

497 : 1, 7, 71, 497

10 : 1, 2, 5, 10

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 174,528,497,10, is 1.

Now, the common factors can be found like this.

174:2x 3x 29

528:2x 2x 2x 2x 3x 11

497:7x 71

10:2x 5

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 3 = 12

Therefore, the value for common factors is 12.

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 = 456603840/(1x12)

LCM = 456603840/12

LCM = 38050320

Thus, we can understand that the LCM of 174,528,497,10 is 38050320.

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

• LCM of 292, 367, 594, 80
• LCM of 838, 213, 644, 59
• LCM of 918, 401, 475, 55
• LCM of 413, 390, 243, 39
• LCM of 168, 402, 280, 89

1. What is the LCM of 174, 528, 497, 10?

Answer: LCM of 174, 528, 497, 10 is 38050320.

2. How to calculate the LCM of 174, 528, 497, 10?

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 174, 528, 497, 10.

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}.