Given numbers are 242,257,871,560,900

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

The LCM of 242,257,871,560,900 is 682554272400.

Find LCM of 242,257,871,560,900 with Prime Factorization

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

2 x 2 x 5 x 121 x 257 x 871 x 28 x 45 = 682554272400

Therefore, the lowest common multiple of 242,257,871,560,900 is 682554272400.

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.

242 x 257 x 871 x 560 x 900 = 27302170896000

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.

242 : 1, 2, 11, 22, 121, 242

257 : 1, 257

871 : 1, 13, 67, 871

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

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 242,257,871,560,900, is 1.

Now, the common factors can be found like this.

242:2x 11x 11

257:257

871:13x 67

560:2x 2x 2x 2x 5x 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 2x 5 = 40

Therefore, the value for common factors is 40.

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 = 27302170896000/(1x40)

LCM = 27302170896000/40

LCM = 682554272400

Thus, we can understand that the LCM of 242,257,871,560,900 is 682554272400.

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

• LCM of 731, 171, 410, 898, 397
• LCM of 810, 733, 457, 296, 803
• LCM of 924, 239, 977, 169, 971
• LCM of 256, 485, 161, 952, 698
• LCM of 990, 900, 841, 699, 212

1. What is the LCM of 242, 257, 871, 560, 900?

Answer: LCM of 242, 257, 871, 560, 900 is 682554272400.

2. How to calculate the LCM of 242, 257, 871, 560, 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 242, 257, 871, 560, 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}.