Given numbers are 257,511,224,343,378

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

The LCM of 257,511,224,343,378 is 5559859872.

Find LCM of 257,511,224,343,378 with Prime Factorization

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

2 x 7 x 257 x 73 x 16 x 49 x 27 = 5559859872

Therefore, the lowest common multiple of 257,511,224,343,378 is 5559859872.

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.

257 x 511 x 224 x 343 x 378 = 3814063872192

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.

257 : 1, 257

511 : 1, 7, 73, 511

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

343 : 1, 7, 49, 343

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 257,511,224,343,378, is 1.

Now, the common factors can be found like this.

257:257

511:7x 73

224:2x 2x 2x 2x 2x 7

343:7x 7x 7

378:2x 3x 3x 3x 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 7x 7x 7 = 686

Therefore, the value for common factors is 686.

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 = 3814063872192/(1x686)

LCM = 3814063872192/686

LCM = 5559859872

Thus, we can understand that the LCM of 257,511,224,343,378 is 5559859872.

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

• LCM of 180, 707, 230, 153, 761
• LCM of 168, 808, 323, 843, 594
• LCM of 807, 321, 919, 847, 448
• LCM of 932, 239, 691, 144, 966
• LCM of 966, 257, 784, 486, 174

1. What is the LCM of 257, 511, 224, 343, 378?

Answer: LCM of 257, 511, 224, 343, 378 is 5559859872.

2. How to calculate the LCM of 257, 511, 224, 343, 378?

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 257, 511, 224, 343, 378.

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}.