Given numbers are 471,502,576,358,174

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

The LCM of 471,502,576,358,174 is 117827560512.

Find LCM of 471,502,576,358,174 with Prime Factorization

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

2 x 3 x 157 x 251 x 96 x 179 x 29 = 117827560512

Therefore, the lowest common multiple of 471,502,576,358,174 is 117827560512.

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.

471 x 502 x 576 x 358 x 174 = 8483584356864

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.

471 : 1, 3, 157, 471

502 : 1, 2, 251, 502

576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

358 : 1, 2, 179, 358

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 471,502,576,358,174, is 1.

Now, the common factors can be found like this.

471:3x 157

502:2x 251

576:2x 2x 2x 2x 2x 2x 3x 3

358:2x 179

174:2x 3x 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 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 8483584356864/(1x72)

LCM = 8483584356864/72

LCM = 117827560512

Thus, we can understand that the LCM of 471,502,576,358,174 is 117827560512.

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

• LCM of 195, 459, 473, 413, 792
• LCM of 962, 654, 338, 899, 954
• LCM of 103, 695, 836, 632, 773
• LCM of 821, 666, 135, 223, 261
• LCM of 897, 606, 300, 196, 365

1. What is the LCM of 471, 502, 576, 358, 174?

Answer: LCM of 471, 502, 576, 358, 174 is 117827560512.

2. How to calculate the LCM of 471, 502, 576, 358, 174?

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 471, 502, 576, 358, 174.

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}.