Given numbers are 546,728,516,354

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

The LCM of 546,728,516,354 is 5540808.

Find LCM of 546,728,516,354 with Prime Factorization

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

2 x 2 x 3 x 7 x 13 x 1 x 2 x 43 x 59 = 5540808

Therefore, the lowest common multiple of 546,728,516,354 is 5540808.

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 728 x 516 x 354 = 72606748032

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

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

354 : 1, 2, 3, 6, 59, 118, 177, 354

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,728,516,354, is 2.

Now, the common factors can be found like this.

546:2x 3x 7x 13

728:2x 2x 2x 7x 13

516:2x 2x 3x 43

354:2x 3x 59

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 3x 3x 7x 13 = 6552

Therefore, the value for common factors is 6552.

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 = 72606748032/(2x6552)

LCM = 72606748032/13104

LCM = 5540808

Thus, we can understand that the LCM of 546,728,516,354 is 5540808.

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

• LCM of 575, 224, 280, 997
• LCM of 306, 667, 594, 335
• LCM of 810, 978, 185, 551
• LCM of 932, 328, 953, 625
• LCM of 947, 796, 635, 703

1. What is the LCM of 546, 728, 516, 354?

Answer: LCM of 546, 728, 516, 354 is 5540808.

2. How to calculate the LCM of 546, 728, 516, 354?

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, 728, 516, 354.

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}.