Given numbers are 364,274,377,116,676

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

The LCM of 364,274,377,116,676 is 18800236.

Find LCM of 364,274,377,116,676 with Prime Factorization

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

2 x 2 x 13 x 29 x 7 x 137 x 1 x 1 x 13 = 18800236

Therefore, the lowest common multiple of 364,274,377,116,676 is 18800236.

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.

364 x 274 x 377 x 116 x 676 = 2948478612352

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.

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

274 : 1, 2, 137, 274

377 : 1, 13, 29, 377

116 : 1, 2, 4, 29, 58, 116

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 364,274,377,116,676, is 1.

Now, the common factors can be found like this.

364:2x 2x 7x 13

274:2x 137

377:13x 29

116:2x 2x 29

676:2x 2x 13x 13

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 2x 2x 13x 13x 29 = 156832

Therefore, the value for common factors is 156832.

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 = 2948478612352/(1x156832)

LCM = 2948478612352/156832

LCM = 18800236

Thus, we can understand that the LCM of 364,274,377,116,676 is 18800236.

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

• LCM of 988, 693, 472, 364, 608
• LCM of 388, 189, 506, 621, 880
• LCM of 893, 148, 573, 983, 898
• LCM of 179, 502, 282, 650, 408
• LCM of 909, 632, 705, 403, 361

1. What is the LCM of 364, 274, 377, 116, 676?

Answer: LCM of 364, 274, 377, 116, 676 is 18800236.

2. How to calculate the LCM of 364, 274, 377, 116, 676?

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 364, 274, 377, 116, 676.

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}.