Given numbers are 252,282,552,260,740

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

The LCM of 252,282,552,260,740 is 1310301720.

Find LCM of 252,282,552,260,740 with Prime Factorization

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

2 x 2 x 3 x 5 x 21 x 47 x 46 x 13 x 37 = 1310301720

Therefore, the lowest common multiple of 252,282,552,260,740 is 1310301720.

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.

252 x 282 x 552 x 260 x 740 = 7547337907200

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.

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

282 : 1, 2, 3, 6, 47, 94, 141, 282

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 252,282,552,260,740, is 2.

Now, the common factors can be found like this.

252:2x 2x 3x 3x 7

282:2x 3x 47

552:2x 2x 2x 3x 23

260:2x 2x 5x 13

740:2x 2x 5x 37

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 2x 2x 3x 3x 5 = 2880

Therefore, the value for common factors is 2880.

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 = 7547337907200/(2x2880)

LCM = 7547337907200/5760

LCM = 1310301720

Thus, we can understand that the LCM of 252,282,552,260,740 is 1310301720.

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

• LCM of 871, 371, 294, 295, 464
• LCM of 477, 446, 311, 439, 477
• LCM of 425, 990, 673, 675, 556
• LCM of 400, 852, 757, 522, 846
• LCM of 897, 579, 567, 269, 605

1. What is the LCM of 252, 282, 552, 260, 740?

Answer: LCM of 252, 282, 552, 260, 740 is 1310301720.

2. How to calculate the LCM of 252, 282, 552, 260, 740?

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 252, 282, 552, 260, 740.

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}.