Given numbers are 515,458,471,338

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

The LCM of 515,458,471,338 is 18775016130.

Find LCM of 515,458,471,338 with Prime Factorization

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

2 x 515 x 229 x 471 x 169 = 18775016130

Therefore, the lowest common multiple of 515,458,471,338 is 18775016130.

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.

515 x 458 x 471 x 338 = 37550032260

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.

515 : 1, 5, 103, 515

458 : 1, 2, 229, 458

471 : 1, 3, 157, 471

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 515,458,471,338, is 1.

Now, the common factors can be found like this.

515:5x 103

458:2x 229

471:3x 157

338:2x 13x 13

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

2 = 2

Therefore, the value for common factors is 2.

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 = 37550032260/(1x2)

LCM = 37550032260/2

LCM = 18775016130

Thus, we can understand that the LCM of 515,458,471,338 is 18775016130.

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

• LCM of 526, 831, 886, 862
• LCM of 409, 375, 320, 692
• LCM of 807, 615, 751, 273
• LCM of 277, 137, 667, 662
• LCM of 360, 188, 715, 255

1. What is the LCM of 515, 458, 471, 338?

Answer: LCM of 515, 458, 471, 338 is 18775016130.

2. How to calculate the LCM of 515, 458, 471, 338?

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 515, 458, 471, 338.

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}.