Given numbers are 902,357,582,408,153

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

The LCM of 902,357,582,408,153 is 374824296.

Find LCM of 902,357,582,408,153 with Prime Factorization

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

2 x 3 x 17 x 451 x 7 x 97 x 4 x 3 = 374824296

Therefore, the lowest common multiple of 902,357,582,408,153 is 374824296.

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.

902 x 357 x 582 x 408 x 153 = 11699015926752

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.

902 : 1, 2, 11, 22, 41, 82, 451, 902

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

582 : 1, 2, 3, 6, 97, 194, 291, 582

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

153 : 1, 3, 9, 17, 51, 153

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 902,357,582,408,153, is 1.

Now, the common factors can be found like this.

902:2x 11x 41

357:3x 7x 17

582:2x 3x 97

408:2x 2x 2x 3x 17

153:3x 3x 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 3x 3x 3x 17x 17 = 31212

Therefore, the value for common factors is 31212.

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 = 11699015926752/(1x31212)

LCM = 11699015926752/31212

LCM = 374824296

Thus, we can understand that the LCM of 902,357,582,408,153 is 374824296.

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

• LCM of 826, 328, 824, 597, 159
• LCM of 741, 382, 614, 563, 495
• LCM of 323, 801, 584, 698, 832
• LCM of 287, 263, 586, 601, 307
• LCM of 320, 230, 344, 834, 675

1. What is the LCM of 902, 357, 582, 408, 153?

Answer: LCM of 902, 357, 582, 408, 153 is 374824296.

2. How to calculate the LCM of 902, 357, 582, 408, 153?

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 902, 357, 582, 408, 153.

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}.