Given numbers are 748,214,912,306

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

The LCM of 748,214,912,306 is 54744624.

Find LCM of 748,214,912,306 with Prime Factorization

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

2 x 2 x 3 x 17 x 11 x 107 x 76 x 3 = 54744624

Therefore, the lowest common multiple of 748,214,912,306 is 54744624.

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 214 x 912 x 306 = 44671613184

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

214 : 1, 2, 107, 214

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 748,214,912,306, is 2.

Now, the common factors can be found like this.

748:2x 2x 11x 17

214:2x 107

912:2x 2x 2x 2x 3x 19

306:2x 3x 3x 17

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 17 = 408

Therefore, the value for common factors is 408.

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 = 44671613184/(2x408)

LCM = 44671613184/816

LCM = 54744624

Thus, we can understand that the LCM of 748,214,912,306 is 54744624.

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

• LCM of 512, 610, 558, 250
• LCM of 282, 675, 164, 361
• LCM of 238, 572, 745, 309
• LCM of 617, 637, 491, 136
• LCM of 147, 836, 471, 744

1. What is the LCM of 748, 214, 912, 306?

Answer: LCM of 748, 214, 912, 306 is 54744624.

2. How to calculate the LCM of 748, 214, 912, 306?

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, 214, 912, 306.

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}.