Given numbers are 497,134,174,464,121

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

The LCM of 497,134,174,464,121 is 5608617168.

Find LCM of 497,134,174,464,121 with Prime Factorization

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

2 x 29 x 497 x 67 x 3 x 8 x 121 = 5608617168

Therefore, the lowest common multiple of 497,134,174,464,121 is 5608617168.

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.

497 x 134 x 174 x 464 x 121 = 650599591488

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.

497 : 1, 7, 71, 497

134 : 1, 2, 67, 134

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

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

121 : 1, 11, 121

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 497,134,174,464,121, is 1.

Now, the common factors can be found like this.

497:7x 71

134:2x 67

174:2x 3x 29

464:2x 2x 2x 2x 29

121:11x 11

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 29 = 116

Therefore, the value for common factors is 116.

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 = 650599591488/(1x116)

LCM = 650599591488/116

LCM = 5608617168

Thus, we can understand that the LCM of 497,134,174,464,121 is 5608617168.

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

• LCM of 394, 756, 653, 634, 864
• LCM of 767, 407, 531, 254, 593
• LCM of 518, 110, 631, 355, 847
• LCM of 257, 212, 479, 346, 300
• LCM of 905, 641, 614, 953, 888

1. What is the LCM of 497, 134, 174, 464, 121?

Answer: LCM of 497, 134, 174, 464, 121 is 5608617168.

2. How to calculate the LCM of 497, 134, 174, 464, 121?

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 497, 134, 174, 464, 121.

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}.