Given numbers are 646,614,140

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

The LCM of 646,614,140 is 13882540.

Find LCM of 646,614,140 with Prime Factorization

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

2 x 323 x 307 x 70 = 13882540

Therefore, the lowest common multiple of 646,614,140 is 13882540.

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.

646 x 614 x 140 = 55530160

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.

646 : 1, 2, 17, 19, 34, 38, 323, 646

614 : 1, 2, 307, 614

140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 646,614,140, is 2.

Now, the common factors can be found like this.

646:2x 17x 19

614:2x 307

140:2x 2x 5x 7

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 = 55530160/(2x2)

LCM = 55530160/4

LCM = 13882540

Thus, we can understand that the LCM of 646,614,140 is 13882540.

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

• LCM of 774, 876, 824
• LCM of 605, 875, 742
• LCM of 368, 870, 147
• LCM of 921, 965, 343
• LCM of 256, 416, 720

1. What is the LCM of 646, 614, 140?

Answer: LCM of 646, 614, 140 is 13882540.

2. How to calculate the LCM of 646, 614, 140?

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 646, 614, 140.

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}.