Given numbers are 649,409,876,222,540

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

The LCM of 649,409,876,222,540 is 387156316140.

Find LCM of 649,409,876,222,540 with Prime Factorization

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

2 x 2 x 3 x 649 x 409 x 73 x 37 x 45 = 387156316140

Therefore, the lowest common multiple of 649,409,876,222,540 is 387156316140.

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.

649 x 409 x 876 x 222 x 540 = 27875254762080

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.

649 : 1, 11, 59, 649

409 : 1, 409

876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

222 : 1, 2, 3, 6, 37, 74, 111, 222

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 649,409,876,222,540, is 1.

Now, the common factors can be found like this.

649:11x 59

409:409

876:2x 2x 3x 73

222:2x 3x 37

540:2x 2x 3x 3x 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.

2x 2x 2x 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 27875254762080/(1x72)

LCM = 27875254762080/72

LCM = 387156316140

Thus, we can understand that the LCM of 649,409,876,222,540 is 387156316140.

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

• LCM of 975, 680, 347, 207, 231
• LCM of 533, 665, 803, 522, 984
• LCM of 850, 613, 183, 616, 611
• LCM of 798, 510, 118, 849, 144
• LCM of 780, 599, 892, 199, 191

1. What is the LCM of 649, 409, 876, 222, 540?

Answer: LCM of 649, 409, 876, 222, 540 is 387156316140.

2. How to calculate the LCM of 649, 409, 876, 222, 540?

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 649, 409, 876, 222, 540.

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}.