Given numbers are 310,202,149,318

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

The LCM of 310,202,149,318 is 741765210.

Find LCM of 310,202,149,318 with Prime Factorization

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

2 x 155 x 101 x 149 x 159 = 741765210

Therefore, the lowest common multiple of 310,202,149,318 is 741765210.

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 202 x 149 x 318 = 2967060840

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

202 : 1, 2, 101, 202

149 : 1, 149

318 : 1, 2, 3, 6, 53, 106, 159, 318

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 310,202,149,318, is 1.

Now, the common factors can be found like this.

310:2x 5x 31

202:2x 101

149:149

318:2x 3x 53

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 = 2967060840/(1x4)

LCM = 2967060840/4

LCM = 741765210

Thus, we can understand that the LCM of 310,202,149,318 is 741765210.

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

• LCM of 465, 127, 632, 759
• LCM of 962, 965, 756, 389
• LCM of 267, 311, 781, 508
• LCM of 635, 207, 202, 965
• LCM of 767, 143, 382, 870

1. What is the LCM of 310, 202, 149, 318?

Answer: LCM of 310, 202, 149, 318 is 741765210.

2. How to calculate the LCM of 310, 202, 149, 318?

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, 202, 149, 318.

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}.