Given numbers are 649,167,108,978,872

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

The LCM of 649,167,108,978,872 is 415938404376.

Find LCM of 649,167,108,978,872 with Prime Factorization

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

2 x 2 x 3 x 649 x 167 x 9 x 163 x 218 = 415938404376

Therefore, the lowest common multiple of 649,167,108,978,872 is 415938404376.

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 167 x 108 x 978 x 872 = 9982521705024

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

167 : 1, 167

108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

978 : 1, 2, 3, 6, 163, 326, 489, 978

872 : 1, 2, 4, 8, 109, 218, 436, 872

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 649,167,108,978,872, is 1.

Now, the common factors can be found like this.

649:11x 59

167:167

108:2x 2x 3x 3x 3

978:2x 3x 163

872:2x 2x 2x 109

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 3 = 24

Therefore, the value for common factors is 24.

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 = 9982521705024/(1x24)

LCM = 9982521705024/24

LCM = 415938404376

Thus, we can understand that the LCM of 649,167,108,978,872 is 415938404376.

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

• LCM of 862, 416, 406, 530, 633
• LCM of 329, 675, 259, 994, 880
• LCM of 843, 314, 151, 981, 161
• LCM of 494, 111, 137, 444, 752
• LCM of 414, 124, 272, 315, 897

1. What is the LCM of 649, 167, 108, 978, 872?

Answer: LCM of 649, 167, 108, 978, 872 is 415938404376.

2. How to calculate the LCM of 649, 167, 108, 978, 872?

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, 167, 108, 978, 872.

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}.