Given numbers are 261,460,503,438

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

The LCM of 261,460,503,438 is 4408483140.

Find LCM of 261,460,503,438 with Prime Factorization

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

2 x 3 x 87 x 230 x 503 x 73 = 4408483140

Therefore, the lowest common multiple of 261,460,503,438 is 4408483140.

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.

261 x 460 x 503 x 438 = 26450898840

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.

261 : 1, 3, 9, 29, 87, 261

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

503 : 1, 503

438 : 1, 2, 3, 6, 73, 146, 219, 438

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 261,460,503,438, is 1.

Now, the common factors can be found like this.

261:3x 3x 29

460:2x 2x 5x 23

503:503

438:2x 3x 73

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 26450898840/(1x6)

LCM = 26450898840/6

LCM = 4408483140

Thus, we can understand that the LCM of 261,460,503,438 is 4408483140.

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

• LCM of 934, 655, 548, 500
• LCM of 218, 736, 836, 225
• LCM of 518, 297, 218, 853
• LCM of 159, 194, 496, 937
• LCM of 542, 375, 402, 299

1. What is the LCM of 261, 460, 503, 438?

Answer: LCM of 261, 460, 503, 438 is 4408483140.

2. How to calculate the LCM of 261, 460, 503, 438?

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 261, 460, 503, 438.

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}.