Given numbers are 314,696,109,474

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

The LCM of 314,696,109,474 is 940941192.

Find LCM of 314,696,109,474 with Prime Factorization

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

2 x 3 x 157 x 116 x 109 x 79 = 940941192

Therefore, the lowest common multiple of 314,696,109,474 is 940941192.

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.

314 x 696 x 109 x 474 = 11291294304

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.

314 : 1, 2, 157, 314

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

109 : 1, 109

474 : 1, 2, 3, 6, 79, 158, 237, 474

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,696,109,474, is 1.

Now, the common factors can be found like this.

314:2x 157

696:2x 2x 2x 3x 29

109:109

474:2x 3x 79

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 3 = 12

Therefore, the value for common factors is 12.

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 = 11291294304/(1x12)

LCM = 11291294304/12

LCM = 940941192

Thus, we can understand that the LCM of 314,696,109,474 is 940941192.

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

• LCM of 100, 547, 687, 478
• LCM of 457, 374, 618, 815
• LCM of 970, 309, 910, 644
• LCM of 380, 616, 810, 903
• LCM of 218, 505, 442, 274

1. What is the LCM of 314, 696, 109, 474?

Answer: LCM of 314, 696, 109, 474 is 940941192.

2. How to calculate the LCM of 314, 696, 109, 474?

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 314, 696, 109, 474.

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}.