Given numbers are 389,676,377,741

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

The LCM of 389,676,377,741 is 434679492.

Find LCM of 389,676,377,741 with Prime Factorization

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

13 x 389 x 52 x 29 x 57 = 434679492

Therefore, the lowest common multiple of 389,676,377,741 is 434679492.

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.

389 x 676 x 377 x 741 = 73460834148

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.

389 : 1, 389

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

377 : 1, 13, 29, 377

741 : 1, 3, 13, 19, 39, 57, 247, 741

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 389,676,377,741, is 1.

Now, the common factors can be found like this.

389:389

676:2x 2x 13x 13

377:13x 29

741:3x 13x 19

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

13x 13 = 169

Therefore, the value for common factors is 169.

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 = 73460834148/(1x169)

LCM = 73460834148/169

LCM = 434679492

Thus, we can understand that the LCM of 389,676,377,741 is 434679492.

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

• LCM of 563, 562, 233, 720
• LCM of 331, 532, 767, 927
• LCM of 413, 949, 432, 717
• LCM of 823, 797, 416, 375
• LCM of 893, 267, 383, 755

1. What is the LCM of 389, 676, 377, 741?

Answer: LCM of 389, 676, 377, 741 is 434679492.

2. How to calculate the LCM of 389, 676, 377, 741?

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 389, 676, 377, 741.

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}.