Given numbers are 501,174,991,204,381

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

The LCM of 501,174,991,204,381 is 124343192004.

Find LCM of 501,174,991,204,381 with Prime Factorization

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

2 x 3 x 167 x 29 x 991 x 34 x 127 = 124343192004

Therefore, the lowest common multiple of 501,174,991,204,381 is 124343192004.

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.

501 x 174 x 991 x 204 x 381 = 6714532368216

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.

501 : 1, 3, 167, 501

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

991 : 1, 991

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

381 : 1, 3, 127, 381

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 501,174,991,204,381, is 1.

Now, the common factors can be found like this.

501:3x 167

174:2x 3x 29

991:991

204:2x 2x 3x 17

381:3x 127

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

2x 3x 3x 3 = 54

Therefore, the value for common factors is 54.

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 = 6714532368216/(1x54)

LCM = 6714532368216/54

LCM = 124343192004

Thus, we can understand that the LCM of 501,174,991,204,381 is 124343192004.

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

• LCM of 844, 662, 986, 292, 751
• LCM of 535, 168, 496, 702, 444
• LCM of 729, 502, 930, 951, 639
• LCM of 937, 710, 622, 358, 239
• LCM of 105, 942, 606, 385, 436

1. What is the LCM of 501, 174, 991, 204, 381?

Answer: LCM of 501, 174, 991, 204, 381 is 124343192004.

2. How to calculate the LCM of 501, 174, 991, 204, 381?

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 501, 174, 991, 204, 381.

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}.