Given numbers are 556,193,360,552,312

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

The LCM of 556,193,360,552,312 is 2887658280.

Find LCM of 556,193,360,552,312 with Prime Factorization

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

2 x 2 x 2 x 3 x 139 x 193 x 15 x 23 x 13 = 2887658280

Therefore, the lowest common multiple of 556,193,360,552,312 is 2887658280.

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.

556 x 193 x 360 x 552 x 312 = 6653164677120

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.

556 : 1, 2, 4, 139, 278, 556

193 : 1, 193

360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 556,193,360,552,312, is 1.

Now, the common factors can be found like this.

556:2x 2x 139

193:193

360:2x 2x 2x 3x 3x 5

552:2x 2x 2x 3x 23

312:2x 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 2x 2x 2x 2x 2x 3x 3 = 2304

Therefore, the value for common factors is 2304.

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 = 6653164677120/(1x2304)

LCM = 6653164677120/2304

LCM = 2887658280

Thus, we can understand that the LCM of 556,193,360,552,312 is 2887658280.

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

• LCM of 553, 109, 715, 288, 309
• LCM of 983, 504, 880, 290, 581
• LCM of 846, 533, 953, 863, 651
• LCM of 933, 587, 956, 500, 147
• LCM of 984, 333, 217, 543, 648

1. What is the LCM of 556, 193, 360, 552, 312?

Answer: LCM of 556, 193, 360, 552, 312 is 2887658280.

2. How to calculate the LCM of 556, 193, 360, 552, 312?

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 556, 193, 360, 552, 312.

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}.