Given numbers are 67,76,54,670

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

The LCM of 67,76,54,670 is 687420.

Find LCM of 67,76,54,670 with Prime Factorization

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

2 x 67 x 1 x 38 x 27 x 5 = 687420

Therefore, the lowest common multiple of 67,76,54,670 is 687420.

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 76 x 54 x 670 = 184228560

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

76 : 1, 2, 4, 19, 38, 76

54 : 1, 2, 3, 6, 9, 18, 27, 54

670 : 1, 2, 5, 10, 67, 134, 335, 670

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 67,76,54,670, is 1.

Now, the common factors can be found like this.

67:67

76:2x 2x 19

54:2x 3x 3x 3

670:2x 5x 67

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 67 = 268

Therefore, the value for common factors is 268.

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 = 184228560/(1x268)

LCM = 184228560/268

LCM = 687420

Thus, we can understand that the LCM of 67,76,54,670 is 687420.

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

• LCM of 18, 72, 98, 837
• LCM of 33, 17, 42, 204
• LCM of 62, 16, 89, 412
• LCM of 57, 42, 80, 108
• LCM of 31, 78, 16, 691

1. What is the LCM of 67, 76, 54, 670?

Answer: LCM of 67, 76, 54, 670 is 687420.

2. How to calculate the LCM of 67, 76, 54, 670?

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, 76, 54, 670.

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}.