Given numbers are 748,245,916,624

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

The LCM of 748,245,916,624 is 6546780240.

Find LCM of 748,245,916,624 with Prime Factorization

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

2 x 2 x 187 x 245 x 229 x 156 = 6546780240

Therefore, the lowest common multiple of 748,245,916,624 is 6546780240.

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.

748 x 245 x 916 x 624 = 104748483840

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.

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

245 : 1, 5, 7, 35, 49, 245

916 : 1, 2, 4, 229, 458, 916

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 748,245,916,624, is 1.

Now, the common factors can be found like this.

748:2x 2x 11x 17

245:5x 7x 7

916:2x 2x 229

624:2x 2x 2x 2x 3x 13

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 2 = 16

Therefore, the value for common factors is 16.

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 = 104748483840/(1x16)

LCM = 104748483840/16

LCM = 6546780240

Thus, we can understand that the LCM of 748,245,916,624 is 6546780240.

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

• LCM of 425, 124, 246, 762
• LCM of 288, 350, 577, 100
• LCM of 441, 993, 122, 906
• LCM of 120, 770, 309, 726
• LCM of 934, 199, 989, 925

1. What is the LCM of 748, 245, 916, 624?

Answer: LCM of 748, 245, 916, 624 is 6546780240.

2. How to calculate the LCM of 748, 245, 916, 624?

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 748, 245, 916, 624.

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}.