Given numbers are 446,492,253,737,869

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

The LCM of 446,492,253,737,869 is 146923877364.

Find LCM of 446,492,253,737,869 with Prime Factorization

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

2 x 11 x 223 x 246 x 23 x 67 x 79 = 146923877364

Therefore, the lowest common multiple of 446,492,253,737,869 is 146923877364.

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.

446 x 492 x 253 x 737 x 869 = 35555578322088

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.

446 : 1, 2, 223, 446

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

253 : 1, 11, 23, 253

737 : 1, 11, 67, 737

869 : 1, 11, 79, 869

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 446,492,253,737,869, is 1.

Now, the common factors can be found like this.

446:2x 223

492:2x 2x 3x 41

253:11x 23

737:11x 67

869:11x 79

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 11x 11 = 242

Therefore, the value for common factors is 242.

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 = 35555578322088/(1x242)

LCM = 35555578322088/242

LCM = 146923877364

Thus, we can understand that the LCM of 446,492,253,737,869 is 146923877364.

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

• LCM of 779, 658, 910, 841, 655
• LCM of 813, 833, 131, 401, 536
• LCM of 614, 649, 446, 476, 240
• LCM of 315, 940, 826, 999, 240
• LCM of 404, 212, 157, 322, 524

1. What is the LCM of 446, 492, 253, 737, 869?

Answer: LCM of 446, 492, 253, 737, 869 is 146923877364.

2. How to calculate the LCM of 446, 492, 253, 737, 869?

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 446, 492, 253, 737, 869.

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}.