Given numbers are 902,310,338,402

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

The LCM of 902,310,338,402 is 4749205890.

Find LCM of 902,310,338,402 with Prime Factorization

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

2 x 451 x 155 x 169 x 201 = 4749205890

Therefore, the lowest common multiple of 902,310,338,402 is 4749205890.

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 310 x 338 x 402 = 37993647120

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

310 : 1, 2, 5, 10, 31, 62, 155, 310

338 : 1, 2, 13, 26, 169, 338

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 902,310,338,402, is 2.

Now, the common factors can be found like this.

902:2x 11x 41

310:2x 5x 31

338:2x 13x 13

402:2x 3x 67

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 37993647120/(2x4)

LCM = 37993647120/8

LCM = 4749205890

Thus, we can understand that the LCM of 902,310,338,402 is 4749205890.

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

• LCM of 623, 579, 806, 775
• LCM of 858, 661, 806, 674
• LCM of 191, 390, 753, 978
• LCM of 174, 731, 379, 577
• LCM of 378, 278, 704, 835

1. What is the LCM of 902, 310, 338, 402?

Answer: LCM of 902, 310, 338, 402 is 4749205890.

2. How to calculate the LCM of 902, 310, 338, 402?

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, 310, 338, 402.

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}.