Given numbers are 261,136,478,448

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

The LCM of 261,136,478,448 is 475078464.

Find LCM of 261,136,478,448 with Prime Factorization

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

2 x 2 x 2 x 261 x 17 x 239 x 56 = 475078464

Therefore, the lowest common multiple of 261,136,478,448 is 475078464.

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.

261 x 136 x 478 x 448 = 7601255424

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.

261 : 1, 3, 9, 29, 87, 261

136 : 1, 2, 4, 8, 17, 34, 68, 136

478 : 1, 2, 239, 478

448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 261,136,478,448, is 1.

Now, the common factors can be found like this.

261:3x 3x 29

136:2x 2x 2x 17

478:2x 239

448:2x 2x 2x 2x 2x 2x 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 2 = 16

Therefore, the value for common factors is 16.

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 = 7601255424/(1x16)

LCM = 7601255424/16

LCM = 475078464

Thus, we can understand that the LCM of 261,136,478,448 is 475078464.

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

• LCM of 677, 357, 678, 490
• LCM of 632, 115, 966, 866
• LCM of 867, 468, 843, 939
• LCM of 478, 339, 109, 580
• LCM of 965, 776, 582, 991

1. What is the LCM of 261, 136, 478, 448?

Answer: LCM of 261, 136, 478, 448 is 475078464.

2. How to calculate the LCM of 261, 136, 478, 448?

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 261, 136, 478, 448.

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}.