Given numbers are 902,408,497,330,894

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

The LCM of 902,408,497,330,894 is 68131722120.

Find LCM of 902,408,497,330,894 with Prime Factorization

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

2 x 3 x 11 x 41 x 68 x 497 x 5 x 149 = 68131722120

Therefore, the lowest common multiple of 902,408,497,330,894 is 68131722120.

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 408 x 497 x 330 x 894 = 53960323919040

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

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

497 : 1, 7, 71, 497

330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

894 : 1, 2, 3, 6, 149, 298, 447, 894

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 902,408,497,330,894, is 1.

Now, the common factors can be found like this.

902:2x 11x 41

408:2x 2x 2x 3x 17

497:7x 71

330:2x 3x 5x 11

894:2x 3x 149

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 3x 3x 11 = 792

Therefore, the value for common factors is 792.

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 = 53960323919040/(1x792)

LCM = 53960323919040/792

LCM = 68131722120

Thus, we can understand that the LCM of 902,408,497,330,894 is 68131722120.

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

• LCM of 601, 291, 949, 629, 637
• LCM of 889, 564, 896, 305, 387
• LCM of 259, 503, 543, 527, 673
• LCM of 339, 435, 305, 115, 497
• LCM of 859, 906, 405, 259, 430

1. What is the LCM of 902, 408, 497, 330, 894?

Answer: LCM of 902, 408, 497, 330, 894 is 68131722120.

2. How to calculate the LCM of 902, 408, 497, 330, 894?

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, 408, 497, 330, 894.

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}.