Given numbers are 647,14,120

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

The LCM of 647,14,120 is 543480.

Find LCM of 647,14,120 with Prime Factorization

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

2 x 647 x 7 x 60 = 543480

Therefore, the lowest common multiple of 647,14,120 is 543480.

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.

647 x 14 x 120 = 1086960

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.

647 : 1, 647

14 : 1, 2, 7, 14

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 647,14,120, is 1.

Now, the common factors can be found like this.

647:647

14:2x 7

120:2x 2x 2x 3x 5

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

2 = 2

Therefore, the value for common factors is 2.

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 = 1086960/(1x2)

LCM = 1086960/2

LCM = 543480

Thus, we can understand that the LCM of 647,14,120 is 543480.

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

• LCM of 317, 36, 757
• LCM of 151, 88, 510
• LCM of 940, 65, 634
• LCM of 327, 17, 465
• LCM of 186, 93, 406

1. What is the LCM of 647, 14, 120?

Answer: LCM of 647, 14, 120 is 543480.

2. How to calculate the LCM of 647, 14, 120?

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 647, 14, 120.

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}.