Given numbers are 546,752,988,428,354

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

The LCM of 546,752,988,428,354 is 24624639312.

Find LCM of 546,752,988,428,354 with Prime Factorization

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

2 x 2 x 3 x 13 x 7 x 188 x 19 x 107 x 59 = 24624639312

Therefore, the lowest common multiple of 546,752,988,428,354 is 24624639312.

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 752 x 988 x 428 x 354 = 61463099722752

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

752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

428 : 1, 2, 4, 107, 214, 428

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 546,752,988,428,354, is 2.

Now, the common factors can be found like this.

546:2x 3x 7x 13

752:2x 2x 2x 2x 47

988:2x 2x 13x 19

428:2x 2x 107

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 2x 2x 3x 13 = 1248

Therefore, the value for common factors is 1248.

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 = 61463099722752/(2x1248)

LCM = 61463099722752/2496

LCM = 24624639312

Thus, we can understand that the LCM of 546,752,988,428,354 is 24624639312.

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

• LCM of 321, 959, 299, 582, 613
• LCM of 347, 737, 309, 892, 421
• LCM of 491, 485, 357, 658, 127
• LCM of 686, 412, 670, 300, 662
• LCM of 819, 978, 788, 501, 451

1. What is the LCM of 546, 752, 988, 428, 354?

Answer: LCM of 546, 752, 988, 428, 354 is 24624639312.

2. How to calculate the LCM of 546, 752, 988, 428, 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, 752, 988, 428, 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}.