Given numbers are 268,646,690,234,757

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

The LCM of 268,646,690,234,757 is 881691995340.

Find LCM of 268,646,690,234,757 with Prime Factorization

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

2 x 3 x 134 x 323 x 115 x 39 x 757 = 881691995340

Therefore, the lowest common multiple of 268,646,690,234,757 is 881691995340.

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.

268 x 646 x 690 x 234 x 757 = 21160607888160

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.

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

646 : 1, 2, 17, 19, 34, 38, 323, 646

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

757 : 1, 757

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 268,646,690,234,757, is 1.

Now, the common factors can be found like this.

268:2x 2x 67

646:2x 17x 19

690:2x 3x 5x 23

234:2x 3x 3x 13

757:757

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 3 = 24

Therefore, the value for common factors is 24.

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 = 21160607888160/(1x24)

LCM = 21160607888160/24

LCM = 881691995340

Thus, we can understand that the LCM of 268,646,690,234,757 is 881691995340.

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

• LCM of 406, 802, 499, 983, 615
• LCM of 978, 909, 294, 829, 719
• LCM of 501, 174, 427, 654, 136
• LCM of 289, 133, 107, 845, 557
• LCM of 881, 913, 247, 221, 258

1. What is the LCM of 268, 646, 690, 234, 757?

Answer: LCM of 268, 646, 690, 234, 757 is 881691995340.

2. How to calculate the LCM of 268, 646, 690, 234, 757?

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 268, 646, 690, 234, 757.

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}.