Given numbers are 271,782,307,748

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

The LCM of 271,782,307,748 is 1431321188.

Find LCM of 271,782,307,748 with Prime Factorization

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

2 x 17 x 271 x 23 x 307 x 22 = 1431321188

Therefore, the lowest common multiple of 271,782,307,748 is 1431321188.

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.

271 x 782 x 307 x 748 = 48664920392

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.

271 : 1, 271

782 : 1, 2, 17, 23, 34, 46, 391, 782

307 : 1, 307

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 271,782,307,748, is 1.

Now, the common factors can be found like this.

271:271

782:2x 17x 23

307:307

748:2x 2x 11x 17

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

2x 17 = 34

Therefore, the value for common factors is 34.

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 = 48664920392/(1x34)

LCM = 48664920392/34

LCM = 1431321188

Thus, we can understand that the LCM of 271,782,307,748 is 1431321188.

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

• LCM of 682, 892, 850, 516
• LCM of 172, 869, 967, 193
• LCM of 303, 327, 849, 616
• LCM of 902, 950, 354, 727
• LCM of 853, 341, 179, 130

1. What is the LCM of 271, 782, 307, 748?

Answer: LCM of 271, 782, 307, 748 is 1431321188.

2. How to calculate the LCM of 271, 782, 307, 748?

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 271, 782, 307, 748.

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}.