Given numbers are 688,946,398,596

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

The LCM of 688,946,398,596 is 224398768.

Find LCM of 688,946,398,596 with Prime Factorization

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

2 x 2 x 43 x 4 x 11 x 199 x 149 = 224398768

Therefore, the lowest common multiple of 688,946,398,596 is 224398768.

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 946 x 398 x 596 = 154386352384

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

946 : 1, 2, 11, 22, 43, 86, 473, 946

398 : 1, 2, 199, 398

596 : 1, 2, 4, 149, 298, 596

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 688,946,398,596, is 2.

Now, the common factors can be found like this.

688:2x 2x 2x 2x 43

946:2x 11x 43

398:2x 199

596:2x 2x 149

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 43 = 344

Therefore, the value for common factors is 344.

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 = 154386352384/(2x344)

LCM = 154386352384/688

LCM = 224398768

Thus, we can understand that the LCM of 688,946,398,596 is 224398768.

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

• LCM of 621, 969, 131, 165
• LCM of 148, 771, 685, 520
• LCM of 419, 509, 277, 603
• LCM of 181, 117, 894, 469
• LCM of 149, 241, 580, 142

1. What is the LCM of 688, 946, 398, 596?

Answer: LCM of 688, 946, 398, 596 is 224398768.

2. How to calculate the LCM of 688, 946, 398, 596?

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, 946, 398, 596.

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}.