Given numbers are 67,29,64,58,974

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

The LCM of 67,29,64,58,974 is 60559424.

Find LCM of 67,29,64,58,974 with Prime Factorization

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

2 x 29 x 67 x 1 x 32 x 1 x 487 = 60559424

Therefore, the lowest common multiple of 67,29,64,58,974 is 60559424.

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.

67 x 29 x 64 x 58 x 974 = 7024893184

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.

67 : 1, 67

29 : 1, 29

64 : 1, 2, 4, 8, 16, 32, 64

58 : 1, 2, 29, 58

974 : 1, 2, 487, 974

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 67,29,64,58,974, is 1.

Now, the common factors can be found like this.

67:67

29:29

64:2x 2x 2x 2x 2x 2

58:2x 29

974:2x 487

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 = 7024893184/(1x116)

LCM = 7024893184/116

LCM = 60559424

Thus, we can understand that the LCM of 67,29,64,58,974 is 60559424.

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

• LCM of 56, 43, 99, 91, 910
• LCM of 35, 48, 51, 82, 801
• LCM of 13, 93, 98, 13, 890
• LCM of 51, 62, 90, 51, 581
• LCM of 18, 59, 70, 41, 939

1. What is the LCM of 67, 29, 64, 58, 974?

Answer: LCM of 67, 29, 64, 58, 974 is 60559424.

2. How to calculate the LCM of 67, 29, 64, 58, 974?

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 67, 29, 64, 58, 974.

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}.