Given numbers are 944,194,170,375,289

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

The LCM of 944,194,170,375,289 is 9923682000.

Find LCM of 944,194,170,375,289 with Prime Factorization

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

2 x 5 x 17 x 472 x 97 x 1 x 75 x 17 = 9923682000

Therefore, the lowest common multiple of 944,194,170,375,289 is 9923682000.

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.

944 x 194 x 170 x 375 x 289 = 3374051880000

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.

944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944

194 : 1, 2, 97, 194

170 : 1, 2, 5, 10, 17, 34, 85, 170

375 : 1, 3, 5, 15, 25, 75, 125, 375

289 : 1, 17, 289

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 944,194,170,375,289, is 1.

Now, the common factors can be found like this.

944:2x 2x 2x 2x 59

194:2x 97

170:2x 5x 17

375:3x 5x 5x 5

289:17x 17

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 5x 17 = 340

Therefore, the value for common factors is 340.

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 = 3374051880000/(1x340)

LCM = 3374051880000/340

LCM = 9923682000

Thus, we can understand that the LCM of 944,194,170,375,289 is 9923682000.

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

• LCM of 749, 922, 359, 946, 947
• LCM of 391, 969, 902, 665, 266
• LCM of 739, 267, 926, 562, 609
• LCM of 750, 972, 678, 989, 964
• LCM of 528, 747, 666, 708, 235

1. What is the LCM of 944, 194, 170, 375, 289?

Answer: LCM of 944, 194, 170, 375, 289 is 9923682000.

2. How to calculate the LCM of 944, 194, 170, 375, 289?

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 944, 194, 170, 375, 289.

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}.