Given numbers are 269,538,310

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

The LCM of 269,538,310 is 83390.

Find LCM of 269,538,310 with Prime Factorization

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

2 x 269 x 1 x 1 x 155 = 83390

Therefore, the lowest common multiple of 269,538,310 is 83390.

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.

269 x 538 x 310 = 44863820

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.

269 : 1, 269

538 : 1, 2, 269, 538

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 269,538,310, is 1.

Now, the common factors can be found like this.

269:269

538:2x 269

310:2x 5x 31

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

2x 269 = 538

Therefore, the value for common factors is 538.

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 = 44863820/(1x538)

LCM = 44863820/538

LCM = 83390

Thus, we can understand that the LCM of 269,538,310 is 83390.

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

• LCM of 331, 335, 987
• LCM of 927, 286, 765
• LCM of 179, 729, 504
• LCM of 638, 490, 437
• LCM of 711, 592, 799

1. What is the LCM of 269, 538, 310?

Answer: LCM of 269, 538, 310 is 83390.

2. How to calculate the LCM of 269, 538, 310?

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 269, 538, 310.

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}.