Given numbers are 546,360,798,471,703

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

The LCM of 546,360,798,471,703 is 3615753960.

Find LCM of 546,360,798,471,703 with Prime Factorization

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

2 x 3 x 7 x 19 x 13 x 60 x 1 x 157 x 37 = 3615753960

Therefore, the lowest common multiple of 546,360,798,471,703 is 3615753960.

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.

546 x 360 x 798 x 471 x 703 = 51936689881440

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.

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

471 : 1, 3, 157, 471

703 : 1, 19, 37, 703

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,360,798,471,703, is 1.

Now, the common factors can be found like this.

546:2x 3x 7x 13

360:2x 2x 2x 3x 3x 5

798:2x 3x 7x 19

471:3x 157

703:19x 37

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 3x 3x 3x 7x 19 = 14364

Therefore, the value for common factors is 14364.

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 = 51936689881440/(1x14364)

LCM = 51936689881440/14364

LCM = 3615753960

Thus, we can understand that the LCM of 546,360,798,471,703 is 3615753960.

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

• LCM of 983, 957, 373, 895, 252
• LCM of 588, 389, 922, 757, 927
• LCM of 380, 134, 625, 124, 960
• LCM of 412, 466, 323, 539, 640
• LCM of 690, 570, 112, 454, 287

1. What is the LCM of 546, 360, 798, 471, 703?

Answer: LCM of 546, 360, 798, 471, 703 is 3615753960.

2. How to calculate the LCM of 546, 360, 798, 471, 703?

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 546, 360, 798, 471, 703.

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}.