Given numbers are 271,268,378,130,770

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

The LCM of 271,268,378,130,770 is 9814584780.

Find LCM of 271,268,378,130,770 with Prime Factorization

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

2 x 5 x 7 x 271 x 134 x 27 x 13 x 11 = 9814584780

Therefore, the lowest common multiple of 271,268,378,130,770 is 9814584780.

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 268 x 378 x 130 x 770 = 2748083738400

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

268 : 1, 2, 4, 67, 134, 268

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

130 : 1, 2, 5, 10, 13, 26, 65, 130

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 271,268,378,130,770, is 1.

Now, the common factors can be found like this.

271:271

268:2x 2x 67

378:2x 3x 3x 3x 7

130:2x 5x 13

770:2x 5x 7x 11

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 2x 5x 7 = 280

Therefore, the value for common factors is 280.

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 = 2748083738400/(1x280)

LCM = 2748083738400/280

LCM = 9814584780

Thus, we can understand that the LCM of 271,268,378,130,770 is 9814584780.

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

• LCM of 589, 249, 111, 957, 540
• LCM of 617, 941, 482, 366, 991
• LCM of 568, 598, 930, 640, 462
• LCM of 193, 938, 756, 524, 571
• LCM of 962, 123, 300, 804, 173

1. What is the LCM of 271, 268, 378, 130, 770?

Answer: LCM of 271, 268, 378, 130, 770 is 9814584780.

2. How to calculate the LCM of 271, 268, 378, 130, 770?

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, 268, 378, 130, 770.

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}.