Given numbers are 688,276,313,370

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

The LCM of 688,276,313,370 is 2748866160.

Find LCM of 688,276,313,370 with Prime Factorization

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

2 x 2 x 172 x 69 x 313 x 185 = 2748866160

Therefore, the lowest common multiple of 688,276,313,370 is 2748866160.

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.

688 x 276 x 313 x 370 = 21990929280

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.

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

313 : 1, 313

370 : 1, 2, 5, 10, 37, 74, 185, 370

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 688,276,313,370, is 1.

Now, the common factors can be found like this.

688:2x 2x 2x 2x 43

276:2x 2x 3x 23

313:313

370:2x 5x 37

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 2 = 8

Therefore, the value for common factors is 8.

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 = 21990929280/(1x8)

LCM = 21990929280/8

LCM = 2748866160

Thus, we can understand that the LCM of 688,276,313,370 is 2748866160.

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

• LCM of 779, 674, 801, 604
• LCM of 570, 332, 911, 176
• LCM of 808, 967, 925, 151
• LCM of 364, 679, 909, 849
• LCM of 640, 908, 687, 331

1. What is the LCM of 688, 276, 313, 370?

Answer: LCM of 688, 276, 313, 370 is 2748866160.

2. How to calculate the LCM of 688, 276, 313, 370?

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 688, 276, 313, 370.

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}.