Given numbers are 402,354,277,183,744

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

The LCM of 402,354,277,183,744 is 49694617704.

Find LCM of 402,354,277,183,744 with Prime Factorization

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

2 x 3 x 67 x 59 x 277 x 61 x 124 = 49694617704

Therefore, the lowest common multiple of 402,354,277,183,744 is 49694617704.

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.

402 x 354 x 277 x 183 x 744 = 5367018712032

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.

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

354 : 1, 2, 3, 6, 59, 118, 177, 354

277 : 1, 277

183 : 1, 3, 61, 183

744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 402,354,277,183,744, is 1.

Now, the common factors can be found like this.

402:2x 3x 67

354:2x 3x 59

277:277

183:3x 61

744:2x 2x 2x 3x 31

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 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 5367018712032/(1x108)

LCM = 5367018712032/108

LCM = 49694617704

Thus, we can understand that the LCM of 402,354,277,183,744 is 49694617704.

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

• LCM of 523, 309, 665, 939, 304
• LCM of 143, 636, 933, 926, 356
• LCM of 512, 389, 485, 603, 680
• LCM of 785, 929, 452, 111, 583
• LCM of 724, 468, 812, 357, 803

1. What is the LCM of 402, 354, 277, 183, 744?

Answer: LCM of 402, 354, 277, 183, 744 is 49694617704.

2. How to calculate the LCM of 402, 354, 277, 183, 744?

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 402, 354, 277, 183, 744.

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}.