Given numbers are 994,257,128,274,294

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

The LCM of 994,257,128,274,294 is 47036970624.

Find LCM of 994,257,128,274,294 with Prime Factorization

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

2 x 7 x 71 x 257 x 64 x 137 x 21 = 47036970624

Therefore, the lowest common multiple of 994,257,128,274,294 is 47036970624.

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.

994 x 257 x 128 x 274 x 294 = 2634070354944

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.

994 : 1, 2, 7, 14, 71, 142, 497, 994

257 : 1, 257

128 : 1, 2, 4, 8, 16, 32, 64, 128

274 : 1, 2, 137, 274

294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 994,257,128,274,294, is 1.

Now, the common factors can be found like this.

994:2x 7x 71

257:257

128:2x 2x 2x 2x 2x 2x 2

274:2x 137

294:2x 3x 7x 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 7 = 56

Therefore, the value for common factors is 56.

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 = 2634070354944/(1x56)

LCM = 2634070354944/56

LCM = 47036970624

Thus, we can understand that the LCM of 994,257,128,274,294 is 47036970624.

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

• LCM of 221, 732, 567, 551, 975
• LCM of 814, 286, 742, 100, 110
• LCM of 534, 568, 173, 960, 243
• LCM of 503, 503, 313, 248, 553
• LCM of 434, 364, 451, 244, 817

1. What is the LCM of 994, 257, 128, 274, 294?

Answer: LCM of 994, 257, 128, 274, 294 is 47036970624.

2. How to calculate the LCM of 994, 257, 128, 274, 294?

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 994, 257, 128, 274, 294.

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}.