Given numbers are 174,743,306,742

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

The LCM of 174,743,306,742 is 2446144722.

Find LCM of 174,743,306,742 with Prime Factorization

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

2 x 3 x 29 x 743 x 51 x 371 = 2446144722

Therefore, the lowest common multiple of 174,743,306,742 is 2446144722.

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.

174 x 743 x 306 x 742 = 29353736664

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.

174 : 1, 2, 3, 6, 29, 58, 87, 174

743 : 1, 743

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

742 : 1, 2, 7, 14, 53, 106, 371, 742

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 174,743,306,742, is 1.

Now, the common factors can be found like this.

174:2x 3x 29

743:743

306:2x 3x 3x 17

742:2x 7x 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 2x 3 = 12

Therefore, the value for common factors is 12.

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 = 29353736664/(1x12)

LCM = 29353736664/12

LCM = 2446144722

Thus, we can understand that the LCM of 174,743,306,742 is 2446144722.

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

• LCM of 805, 377, 839, 372
• LCM of 456, 146, 553, 961
• LCM of 705, 790, 399, 210
• LCM of 763, 979, 468, 612
• LCM of 497, 820, 502, 274

1. What is the LCM of 174, 743, 306, 742?

Answer: LCM of 174, 743, 306, 742 is 2446144722.

2. How to calculate the LCM of 174, 743, 306, 742?

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 174, 743, 306, 742.

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}.