Given numbers are 460,938,263,774,560

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

The LCM of 460,938,263,774,560 is 87832931760.

Find LCM of 460,938,263,774,560 with Prime Factorization

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

2 x 2 x 5 x 7 x 23 x 67 x 263 x 387 x 4 = 87832931760

Therefore, the lowest common multiple of 460,938,263,774,560 is 87832931760.

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.

460 x 938 x 263 x 774 x 560 = 49186441785600

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.

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

938 : 1, 2, 7, 14, 67, 134, 469, 938

263 : 1, 263

774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,938,263,774,560, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

938:2x 7x 67

263:263

774:2x 3x 3x 43

560:2x 2x 2x 2x 5x 7

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 5x 7 = 560

Therefore, the value for common factors is 560.

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 = 49186441785600/(1x560)

LCM = 49186441785600/560

LCM = 87832931760

Thus, we can understand that the LCM of 460,938,263,774,560 is 87832931760.

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

• LCM of 390, 189, 195, 151, 234
• LCM of 991, 252, 304, 859, 714
• LCM of 817, 432, 583, 213, 858
• LCM of 957, 602, 361, 127, 769
• LCM of 287, 693, 274, 236, 946

1. What is the LCM of 460, 938, 263, 774, 560?

Answer: LCM of 460, 938, 263, 774, 560 is 87832931760.

2. How to calculate the LCM of 460, 938, 263, 774, 560?

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 460, 938, 263, 774, 560.

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}.