Given numbers are 578,368,102,706,734

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

The LCM of 578,368,102,706,734 is 41334023856.

Find LCM of 578,368,102,706,734 with Prime Factorization

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

2 x 17 x 17 x 184 x 3 x 353 x 367 = 41334023856

Therefore, the lowest common multiple of 578,368,102,706,734 is 41334023856.

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.

578 x 368 x 102 x 706 x 734 = 11242854488832

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.

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

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

102 : 1, 2, 3, 6, 17, 34, 51, 102

706 : 1, 2, 353, 706

734 : 1, 2, 367, 734

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 578,368,102,706,734, is 2.

Now, the common factors can be found like this.

578:2x 17x 17

368:2x 2x 2x 2x 23

102:2x 3x 17

706:2x 353

734:2x 367

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 17 = 136

Therefore, the value for common factors is 136.

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 = 11242854488832/(2x136)

LCM = 11242854488832/272

LCM = 41334023856

Thus, we can understand that the LCM of 578,368,102,706,734 is 41334023856.

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

• LCM of 671, 359, 483, 655, 828
• LCM of 756, 377, 925, 168, 760
• LCM of 402, 194, 846, 470, 345
• LCM of 285, 371, 591, 373, 848
• LCM of 760, 697, 641, 868, 366

1. What is the LCM of 578, 368, 102, 706, 734?

Answer: LCM of 578, 368, 102, 706, 734 is 41334023856.

2. How to calculate the LCM of 578, 368, 102, 706, 734?

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 578, 368, 102, 706, 734.

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}.