Given numbers are 381,149,364,745,137

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

The LCM of 381,149,364,745,137 is 14154782460.

Find LCM of 381,149,364,745,137 with Prime Factorization

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

149 x 381 x 1 x 364 x 5 x 137 = 14154782460

Therefore, the lowest common multiple of 381,149,364,745,137 is 14154782460.

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.

381 x 149 x 364 x 745 x 137 = 2109062586540

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.

381 : 1, 3, 127, 381

149 : 1, 149

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

745 : 1, 5, 149, 745

137 : 1, 137

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 381,149,364,745,137, is 1.

Now, the common factors can be found like this.

381:3x 127

149:149

364:2x 2x 7x 13

745:5x 149

137:137

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

149 = 149

Therefore, the value for common factors is 149.

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 = 2109062586540/(1x149)

LCM = 2109062586540/149

LCM = 14154782460

Thus, we can understand that the LCM of 381,149,364,745,137 is 14154782460.

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

• LCM of 746, 752, 153, 338, 747
• LCM of 934, 196, 496, 624, 113
• LCM of 770, 895, 903, 628, 318
• LCM of 687, 823, 774, 173, 889
• LCM of 123, 633, 932, 250, 500

1. What is the LCM of 381, 149, 364, 745, 137?

Answer: LCM of 381, 149, 364, 745, 137 is 14154782460.

2. How to calculate the LCM of 381, 149, 364, 745, 137?

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 381, 149, 364, 745, 137.

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}.