Given numbers are 428,454,578,578,366

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

The LCM of 428,454,578,578,366 is 5138289372.

Find LCM of 428,454,578,578,366 with Prime Factorization

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

2 x 17 x 17 x 214 x 227 x 1 x 1 x 183 = 5138289372

Therefore, the lowest common multiple of 428,454,578,578,366 is 5138289372.

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.

428 x 454 x 578 x 578 x 366 = 23759450056128

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.

428 : 1, 2, 4, 107, 214, 428

454 : 1, 2, 227, 454

578 : 1, 2, 17, 34, 289, 578

578 : 1, 2, 17, 34, 289, 578

366 : 1, 2, 3, 6, 61, 122, 183, 366

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,454,578,578,366, is 2.

Now, the common factors can be found like this.

428:2x 2x 107

454:2x 227

578:2x 17x 17

578:2x 17x 17

366:2x 3x 61

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 17x 17 = 2312

Therefore, the value for common factors is 2312.

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 = 23759450056128/(2x2312)

LCM = 23759450056128/4624

LCM = 5138289372

Thus, we can understand that the LCM of 428,454,578,578,366 is 5138289372.

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

• LCM of 789, 240, 778, 211, 117
• LCM of 413, 671, 110, 559, 370
• LCM of 276, 905, 545, 710, 927
• LCM of 517, 512, 340, 346, 503
• LCM of 665, 409, 599, 818, 509

1. What is the LCM of 428, 454, 578, 578, 366?

Answer: LCM of 428, 454, 578, 578, 366 is 5138289372.

2. How to calculate the LCM of 428, 454, 578, 578, 366?

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 428, 454, 578, 578, 366.

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}.