Given numbers are 247,550,346,170,912

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

The LCM of 247,550,346,170,912 is 9588836400.

Find LCM of 247,550,346,170,912 with Prime Factorization

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

2 x 5 x 19 x 13 x 55 x 173 x 17 x 24 = 9588836400

Therefore, the lowest common multiple of 247,550,346,170,912 is 9588836400.

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.

247 x 550 x 346 x 170 x 912 = 7287515664000

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.

247 : 1, 13, 19, 247

550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

346 : 1, 2, 173, 346

170 : 1, 2, 5, 10, 17, 34, 85, 170

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 247,550,346,170,912, is 1.

Now, the common factors can be found like this.

247:13x 19

550:2x 5x 5x 11

346:2x 173

170:2x 5x 17

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

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 5x 19 = 760

Therefore, the value for common factors is 760.

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 = 7287515664000/(1x760)

LCM = 7287515664000/760

LCM = 9588836400

Thus, we can understand that the LCM of 247,550,346,170,912 is 9588836400.

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

• LCM of 210, 267, 956, 592, 204
• LCM of 601, 868, 180, 167, 117
• LCM of 538, 478, 372, 800, 705
• LCM of 991, 716, 342, 972, 116
• LCM of 219, 669, 656, 770, 222

1. What is the LCM of 247, 550, 346, 170, 912?

Answer: LCM of 247, 550, 346, 170, 912 is 9588836400.

2. How to calculate the LCM of 247, 550, 346, 170, 912?

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 247, 550, 346, 170, 912.

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}.