Given numbers are 690,936,466,343

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

The LCM of 690,936,466,343 is 8602481160.

Find LCM of 690,936,466,343 with Prime Factorization

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

2 x 3 x 115 x 156 x 233 x 343 = 8602481160

Therefore, the lowest common multiple of 690,936,466,343 is 8602481160.

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.

690 x 936 x 466 x 343 = 103229773920

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.

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

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

466 : 1, 2, 233, 466

343 : 1, 7, 49, 343

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 690,936,466,343, is 1.

Now, the common factors can be found like this.

690:2x 3x 5x 23

936:2x 2x 2x 3x 3x 13

466:2x 233

343:7x 7x 7

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 = 103229773920/(1x12)

LCM = 103229773920/12

LCM = 8602481160

Thus, we can understand that the LCM of 690,936,466,343 is 8602481160.

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

• LCM of 844, 775, 917, 765
• LCM of 780, 465, 985, 419
• LCM of 456, 217, 181, 332
• LCM of 629, 931, 374, 355
• LCM of 538, 484, 470, 311

1. What is the LCM of 690, 936, 466, 343?

Answer: LCM of 690, 936, 466, 343 is 8602481160.

2. How to calculate the LCM of 690, 936, 466, 343?

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 690, 936, 466, 343.

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}.