Given numbers are 310,975,431,422

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

The LCM of 310,975,431,422 is 5497383450.

Find LCM of 310,975,431,422 with Prime Factorization

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

2 x 5 x 31 x 195 x 431 x 211 = 5497383450

Therefore, the lowest common multiple of 310,975,431,422 is 5497383450.

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.

310 x 975 x 431 x 422 = 54973834500

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.

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

975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

431 : 1, 431

422 : 1, 2, 211, 422

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 310,975,431,422, is 1.

Now, the common factors can be found like this.

310:2x 5x 31

975:3x 5x 5x 13

431:431

422:2x 211

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 54973834500/(1x10)

LCM = 54973834500/10

LCM = 5497383450

Thus, we can understand that the LCM of 310,975,431,422 is 5497383450.

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

• LCM of 356, 791, 782, 259
• LCM of 830, 392, 798, 908
• LCM of 941, 892, 825, 837
• LCM of 730, 753, 828, 275
• LCM of 131, 486, 174, 489

1. What is the LCM of 310, 975, 431, 422?

Answer: LCM of 310, 975, 431, 422 is 5497383450.

2. How to calculate the LCM of 310, 975, 431, 422?

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 310, 975, 431, 422.

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}.