Given numbers are 940,644,357,193,680

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

The LCM of 940,644,357,193,680 is 2979279240.

Find LCM of 940,644,357,193,680 with Prime Factorization

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

2 x 2 x 5 x 7 x 17 x 47 x 23 x 3 x 193 x 2 = 2979279240

Therefore, the lowest common multiple of 940,644,357,193,680 is 2979279240.

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.

940 x 644 x 357 x 193 x 680 = 28362738364800

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.

940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

357 : 1, 3, 7, 17, 21, 51, 119, 357

193 : 1, 193

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 940,644,357,193,680, is 1.

Now, the common factors can be found like this.

940:2x 2x 5x 47

644:2x 2x 7x 23

357:3x 7x 17

193:193

680:2x 2x 2x 5x 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 2x 2x 5x 7x 17 = 9520

Therefore, the value for common factors is 9520.

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 = 28362738364800/(1x9520)

LCM = 28362738364800/9520

LCM = 2979279240

Thus, we can understand that the LCM of 940,644,357,193,680 is 2979279240.

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

• LCM of 944, 507, 692, 549, 652
• LCM of 461, 762, 487, 723, 440
• LCM of 498, 453, 551, 363, 219
• LCM of 432, 825, 946, 892, 815
• LCM of 340, 475, 283, 560, 219

1. What is the LCM of 940, 644, 357, 193, 680?

Answer: LCM of 940, 644, 357, 193, 680 is 2979279240.

2. How to calculate the LCM of 940, 644, 357, 193, 680?

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 940, 644, 357, 193, 680.

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}.