Given numbers are 271,148,202,448

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

The LCM of 271,148,202,448 is 453701696.

Find LCM of 271,148,202,448 with Prime Factorization

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

2 x 2 x 271 x 37 x 101 x 112 = 453701696

Therefore, the lowest common multiple of 271,148,202,448 is 453701696.

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.

271 x 148 x 202 x 448 = 3629613568

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.

271 : 1, 271

148 : 1, 2, 4, 37, 74, 148

202 : 1, 2, 101, 202

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 271,148,202,448, is 1.

Now, the common factors can be found like this.

271:271

148:2x 2x 37

202:2x 101

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 2 = 8

Therefore, the value for common factors is 8.

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 = 3629613568/(1x8)

LCM = 3629613568/8

LCM = 453701696

Thus, we can understand that the LCM of 271,148,202,448 is 453701696.

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

• LCM of 178, 854, 126, 175
• LCM of 184, 127, 533, 571
• LCM of 735, 282, 116, 992
• LCM of 334, 660, 743, 887
• LCM of 555, 508, 506, 254

1. What is the LCM of 271, 148, 202, 448?

Answer: LCM of 271, 148, 202, 448 is 453701696.

2. How to calculate the LCM of 271, 148, 202, 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 271, 148, 202, 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}.