Given numbers are 344,387,674,689

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

The LCM of 344,387,674,689 is 718869528.

Find LCM of 344,387,674,689 with Prime Factorization

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

2 x 43 x 4 x 9 x 337 x 689 = 718869528

Therefore, the lowest common multiple of 344,387,674,689 is 718869528.

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.

344 x 387 x 674 x 689 = 61822779408

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.

344 : 1, 2, 4, 8, 43, 86, 172, 344

387 : 1, 3, 9, 43, 129, 387

674 : 1, 2, 337, 674

689 : 1, 13, 53, 689

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 344,387,674,689, is 1.

Now, the common factors can be found like this.

344:2x 2x 2x 43

387:3x 3x 43

674:2x 337

689:13x 53

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 43 = 86

Therefore, the value for common factors is 86.

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 = 61822779408/(1x86)

LCM = 61822779408/86

LCM = 718869528

Thus, we can understand that the LCM of 344,387,674,689 is 718869528.

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

• LCM of 940, 551, 962, 580
• LCM of 314, 374, 283, 959
• LCM of 377, 198, 539, 454
• LCM of 742, 870, 154, 686
• LCM of 921, 129, 576, 373

1. What is the LCM of 344, 387, 674, 689?

Answer: LCM of 344, 387, 674, 689 is 718869528.

2. How to calculate the LCM of 344, 387, 674, 689?

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 344, 387, 674, 689.

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}.