Given numbers are 268,269,782,697

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

The LCM of 268,269,782,697 is 1155706852.

Find LCM of 268,269,782,697 with Prime Factorization

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

2 x 17 x 134 x 269 x 23 x 41 = 1155706852

Therefore, the lowest common multiple of 268,269,782,697 is 1155706852.

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 269 x 782 x 697 = 39294032968

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

269 : 1, 269

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

697 : 1, 17, 41, 697

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 268,269,782,697, is 1.

Now, the common factors can be found like this.

268:2x 2x 67

269:269

782:2x 17x 23

697:17x 41

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 = 39294032968/(1x34)

LCM = 39294032968/34

LCM = 1155706852

Thus, we can understand that the LCM of 268,269,782,697 is 1155706852.

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

• LCM of 517, 432, 967, 370
• LCM of 406, 136, 961, 179
• LCM of 505, 977, 929, 226
• LCM of 751, 404, 106, 120
• LCM of 631, 502, 583, 568

1. What is the LCM of 268, 269, 782, 697?

Answer: LCM of 268, 269, 782, 697 is 1155706852.

2. How to calculate the LCM of 268, 269, 782, 697?

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, 269, 782, 697.

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}.