Given numbers are 381,567,786,743

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

The LCM of 381,567,786,743 is 14017703994.

Find LCM of 381,567,786,743 with Prime Factorization

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

3 x 127 x 189 x 262 x 743 = 14017703994

Therefore, the lowest common multiple of 381,567,786,743 is 14017703994.

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 567 x 786 x 743 = 126159335946

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

567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567

786 : 1, 2, 3, 6, 131, 262, 393, 786

743 : 1, 743

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 381,567,786,743, is 1.

Now, the common factors can be found like this.

381:3x 127

567:3x 3x 3x 3x 7

786:2x 3x 131

743:743

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

3x 3 = 9

Therefore, the value for common factors is 9.

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 = 126159335946/(1x9)

LCM = 126159335946/9

LCM = 14017703994

Thus, we can understand that the LCM of 381,567,786,743 is 14017703994.

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

• LCM of 509, 984, 281, 518
• LCM of 694, 815, 189, 355
• LCM of 941, 423, 140, 140
• LCM of 312, 275, 363, 369
• LCM of 144, 386, 762, 514

1. What is the LCM of 381, 567, 786, 743?

Answer: LCM of 381, 567, 786, 743 is 14017703994.

2. How to calculate the LCM of 381, 567, 786, 743?

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, 567, 786, 743.

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}.