Given numbers are 702,691,268,336,312

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

The LCM of 702,691,268,336,312 is 1820027664.

Find LCM of 702,691,268,336,312 with Prime Factorization

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

2 x 2 x 2 x 3 x 13 x 9 x 691 x 67 x 14 x 1 = 1820027664

Therefore, the lowest common multiple of 702,691,268,336,312 is 1820027664.

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.

702 x 691 x 268 x 336 x 312 = 13628367148032

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.

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

691 : 1, 691

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

336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 702,691,268,336,312, is 1.

Now, the common factors can be found like this.

702:2x 3x 3x 3x 13

691:691

268:2x 2x 67

336:2x 2x 2x 2x 3x 7

312:2x 2x 2x 3x 13

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 2x 2x 2x 3x 3x 13 = 7488

Therefore, the value for common factors is 7488.

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 = 13628367148032/(1x7488)

LCM = 13628367148032/7488

LCM = 1820027664

Thus, we can understand that the LCM of 702,691,268,336,312 is 1820027664.

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

• LCM of 202, 495, 405, 695, 269
• LCM of 227, 477, 868, 988, 373
• LCM of 131, 494, 280, 548, 350
• LCM of 889, 524, 511, 960, 716
• LCM of 519, 636, 891, 753, 881

1. What is the LCM of 702, 691, 268, 336, 312?

Answer: LCM of 702, 691, 268, 336, 312 is 1820027664.

2. How to calculate the LCM of 702, 691, 268, 336, 312?

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 702, 691, 268, 336, 312.

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}.