Given numbers are 546,230,635,404,140

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

The LCM of 546,230,635,404,140 is 1610814660.

Find LCM of 546,230,635,404,140 with Prime Factorization

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

2 x 2 x 5 x 7 x 39 x 23 x 127 x 101 x 1 = 1610814660

Therefore, the lowest common multiple of 546,230,635,404,140 is 1610814660.

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 230 x 635 x 404 x 140 = 4510281048000

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

230 : 1, 2, 5, 10, 23, 46, 115, 230

635 : 1, 5, 127, 635

404 : 1, 2, 4, 101, 202, 404

140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,230,635,404,140, is 1.

Now, the common factors can be found like this.

546:2x 3x 7x 13

230:2x 5x 23

635:5x 127

404:2x 2x 101

140:2x 2x 5x 7

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 2x 2x 5x 5x 7 = 2800

Therefore, the value for common factors is 2800.

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 = 4510281048000/(1x2800)

LCM = 4510281048000/2800

LCM = 1610814660

Thus, we can understand that the LCM of 546,230,635,404,140 is 1610814660.

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

• LCM of 981, 867, 753, 609, 973
• LCM of 687, 668, 218, 959, 109
• LCM of 591, 188, 654, 399, 543
• LCM of 331, 661, 875, 605, 999
• LCM of 663, 776, 541, 951, 699

1. What is the LCM of 546, 230, 635, 404, 140?

Answer: LCM of 546, 230, 635, 404, 140 is 1610814660.

2. How to calculate the LCM of 546, 230, 635, 404, 140?

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, 230, 635, 404, 140.

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}.