Given numbers are 310,454,138,292,131

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

The LCM of 310,454,138,292,131 is 92866866780.

Find LCM of 310,454,138,292,131 with Prime Factorization

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

2 x 155 x 227 x 69 x 146 x 131 = 92866866780

Therefore, the lowest common multiple of 310,454,138,292,131 is 92866866780.

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 454 x 138 x 292 x 131 = 742934934240

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

454 : 1, 2, 227, 454

138 : 1, 2, 3, 6, 23, 46, 69, 138

292 : 1, 2, 4, 73, 146, 292

131 : 1, 131

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 310,454,138,292,131, is 1.

Now, the common factors can be found like this.

310:2x 5x 31

454:2x 227

138:2x 3x 23

292:2x 2x 73

131:131

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 2 = 8

Therefore, the value for common factors is 8.

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 = 742934934240/(1x8)

LCM = 742934934240/8

LCM = 92866866780

Thus, we can understand that the LCM of 310,454,138,292,131 is 92866866780.

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

• LCM of 794, 810, 612, 569, 314
• LCM of 715, 141, 334, 280, 192
• LCM of 333, 937, 433, 114, 553
• LCM of 483, 254, 421, 642, 950
• LCM of 742, 425, 228, 921, 103

1. What is the LCM of 310, 454, 138, 292, 131?

Answer: LCM of 310, 454, 138, 292, 131 is 92866866780.

2. How to calculate the LCM of 310, 454, 138, 292, 131?

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, 454, 138, 292, 131.

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}.