Given numbers are 254,408,402,351,940

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

The LCM of 254,408,402,351,940 is 95453621640.

Find LCM of 254,408,402,351,940 with Prime Factorization

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

2 x 2 x 3 x 127 x 34 x 67 x 117 x 235 = 95453621640

Therefore, the lowest common multiple of 254,408,402,351,940 is 95453621640.

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.

254 x 408 x 402 x 351 x 940 = 13745321516160

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.

254 : 1, 2, 127, 254

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

402 : 1, 2, 3, 6, 67, 134, 201, 402

351 : 1, 3, 9, 13, 27, 39, 117, 351

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 254,408,402,351,940, is 1.

Now, the common factors can be found like this.

254:2x 127

408:2x 2x 2x 3x 17

402:2x 3x 67

351:3x 3x 3x 13

940:2x 2x 5x 47

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 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 13745321516160/(1x144)

LCM = 13745321516160/144

LCM = 95453621640

Thus, we can understand that the LCM of 254,408,402,351,940 is 95453621640.

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

• LCM of 141, 516, 956, 103, 225
• LCM of 442, 397, 304, 911, 677
• LCM of 237, 230, 355, 125, 487
• LCM of 449, 215, 256, 655, 998
• LCM of 263, 701, 472, 660, 801

1. What is the LCM of 254, 408, 402, 351, 940?

Answer: LCM of 254, 408, 402, 351, 940 is 95453621640.

2. How to calculate the LCM of 254, 408, 402, 351, 940?

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 254, 408, 402, 351, 940.

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}.