Given numbers are 904,138,782,257,253

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

The LCM of 904,138,782,257,253 is 2997728184.

Find LCM of 904,138,782,257,253 with Prime Factorization

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

2 x 23 x 452 x 3 x 17 x 257 x 11 = 2997728184

Therefore, the lowest common multiple of 904,138,782,257,253 is 2997728184.

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.

904 x 138 x 782 x 257 x 253 = 6343192837344

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.

904 : 1, 2, 4, 8, 113, 226, 452, 904

138 : 1, 2, 3, 6, 23, 46, 69, 138

782 : 1, 2, 17, 23, 34, 46, 391, 782

257 : 1, 257

253 : 1, 11, 23, 253

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 904,138,782,257,253, is 1.

Now, the common factors can be found like this.

904:2x 2x 2x 113

138:2x 3x 23

782:2x 17x 23

257:257

253:11x 23

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 23x 23 = 2116

Therefore, the value for common factors is 2116.

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 = 6343192837344/(1x2116)

LCM = 6343192837344/2116

LCM = 2997728184

Thus, we can understand that the LCM of 904,138,782,257,253 is 2997728184.

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

• LCM of 616, 684, 879, 949, 552
• LCM of 387, 958, 822, 580, 783
• LCM of 211, 589, 396, 783, 358
• LCM of 293, 187, 507, 674, 156
• LCM of 706, 292, 220, 837, 774

1. What is the LCM of 904, 138, 782, 257, 253?

Answer: LCM of 904, 138, 782, 257, 253 is 2997728184.

2. How to calculate the LCM of 904, 138, 782, 257, 253?

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 904, 138, 782, 257, 253.

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}.