Given numbers are 312,274,621,690

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

The LCM of 312,274,621,690 is 44240040.

Find LCM of 312,274,621,690 with Prime Factorization

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

2 x 3 x 23 x 52 x 137 x 9 x 5 = 44240040

Therefore, the lowest common multiple of 312,274,621,690 is 44240040.

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.

312 x 274 x 621 x 690 = 36630753120

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.

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

274 : 1, 2, 137, 274

621 : 1, 3, 9, 23, 27, 69, 207, 621

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,274,621,690, is 1.

Now, the common factors can be found like this.

312:2x 2x 2x 3x 13

274:2x 137

621:3x 3x 3x 23

690:2x 3x 5x 23

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 3x 3x 23 = 828

Therefore, the value for common factors is 828.

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 = 36630753120/(1x828)

LCM = 36630753120/828

LCM = 44240040

Thus, we can understand that the LCM of 312,274,621,690 is 44240040.

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

• LCM of 401, 323, 451, 574
• LCM of 174, 356, 335, 159
• LCM of 759, 923, 744, 735
• LCM of 124, 488, 693, 637
• LCM of 793, 651, 142, 736

1. What is the LCM of 312, 274, 621, 690?

Answer: LCM of 312, 274, 621, 690 is 44240040.

2. How to calculate the LCM of 312, 274, 621, 690?

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 312, 274, 621, 690.

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}.