Given numbers are 681,303,247,168,900

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

The LCM of 681,303,247,168,900 is 71353409400.

Find LCM of 681,303,247,168,900 with Prime Factorization

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

2 x 2 x 3 x 227 x 101 x 247 x 14 x 75 = 71353409400

Therefore, the lowest common multiple of 681,303,247,168,900 is 71353409400.

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.

681 x 303 x 247 x 168 x 900 = 7706168215200

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.

681 : 1, 3, 227, 681

303 : 1, 3, 101, 303

247 : 1, 13, 19, 247

168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 681,303,247,168,900, is 1.

Now, the common factors can be found like this.

681:3x 227

303:3x 101

247:13x 19

168:2x 2x 2x 3x 7

900:2x 2x 3x 3x 5x 5

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 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 7706168215200/(1x108)

LCM = 7706168215200/108

LCM = 71353409400

Thus, we can understand that the LCM of 681,303,247,168,900 is 71353409400.

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

• LCM of 785, 849, 744, 767, 900
• LCM of 848, 625, 340, 815, 278
• LCM of 414, 953, 284, 425, 809
• LCM of 435, 277, 320, 112, 636
• LCM of 440, 688, 414, 781, 722

1. What is the LCM of 681, 303, 247, 168, 900?

Answer: LCM of 681, 303, 247, 168, 900 is 71353409400.

2. How to calculate the LCM of 681, 303, 247, 168, 900?

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 681, 303, 247, 168, 900.

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}.