Given numbers are 543,341,366,742

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

The LCM of 543,341,366,742 is 8380847706.

Find LCM of 543,341,366,742 with Prime Factorization

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

2 x 3 x 181 x 341 x 61 x 371 = 8380847706

Therefore, the lowest common multiple of 543,341,366,742 is 8380847706.

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.

543 x 341 x 366 x 742 = 50285086236

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.

543 : 1, 3, 181, 543

341 : 1, 11, 31, 341

366 : 1, 2, 3, 6, 61, 122, 183, 366

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 543,341,366,742, is 1.

Now, the common factors can be found like this.

543:3x 181

341:11x 31

366:2x 3x 61

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 3 = 6

Therefore, the value for common factors is 6.

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 = 50285086236/(1x6)

LCM = 50285086236/6

LCM = 8380847706

Thus, we can understand that the LCM of 543,341,366,742 is 8380847706.

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

• LCM of 109, 751, 591, 781
• LCM of 376, 935, 127, 550
• LCM of 708, 919, 250, 892
• LCM of 743, 514, 311, 661
• LCM of 186, 380, 598, 680

1. What is the LCM of 543, 341, 366, 742?

Answer: LCM of 543, 341, 366, 742 is 8380847706.

2. How to calculate the LCM of 543, 341, 366, 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 543, 341, 366, 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}.