Given numbers are 408,660,751,474,748

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

The LCM of 408,660,751,474,748 is 1331342760.

Find LCM of 408,660,751,474,748 with Prime Factorization

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

2 x 2 x 3 x 11 x 17 x 2 x 5 x 751 x 79 x 1 = 1331342760

Therefore, the lowest common multiple of 408,660,751,474,748 is 1331342760.

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.

408 x 660 x 751 x 474 x 748 = 71700795682560

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.

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

751 : 1, 751

474 : 1, 2, 3, 6, 79, 158, 237, 474

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 408,660,751,474,748, is 1.

Now, the common factors can be found like this.

408:2x 2x 2x 3x 17

660:2x 2x 3x 5x 11

751:751

474:2x 3x 79

748:2x 2x 11x 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 2x 2x 3x 3x 11x 17 = 53856

Therefore, the value for common factors is 53856.

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 = 71700795682560/(1x53856)

LCM = 71700795682560/53856

LCM = 1331342760

Thus, we can understand that the LCM of 408,660,751,474,748 is 1331342760.

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

• LCM of 322, 778, 328, 571, 231
• LCM of 730, 444, 956, 584, 830
• LCM of 426, 832, 179, 272, 887
• LCM of 340, 181, 981, 814, 895
• LCM of 560, 801, 887, 393, 679

1. What is the LCM of 408, 660, 751, 474, 748?

Answer: LCM of 408, 660, 751, 474, 748 is 1331342760.

2. How to calculate the LCM of 408, 660, 751, 474, 748?

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 408, 660, 751, 474, 748.

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}.