Given numbers are 546,189,291,468,248

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

The LCM of 546,189,291,468,248 is 59105592.

Find LCM of 546,189,291,468,248 with Prime Factorization

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

2 x 2 x 3 x 3 x 7 x 13 x 1 x 3 x 97 x 1 x 62 = 59105592

Therefore, the lowest common multiple of 546,189,291,468,248 is 59105592.

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 189 x 291 x 468 x 248 = 3485338549056

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

189 : 1, 3, 7, 9, 21, 27, 63, 189

291 : 1, 3, 97, 291

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

248 : 1, 2, 4, 8, 31, 62, 124, 248

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,189,291,468,248, is 1.

Now, the common factors can be found like this.

546:2x 3x 7x 13

189:3x 3x 3x 7

291:3x 97

468:2x 2x 3x 3x 13

248:2x 2x 2x 31

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 3x 3x 7x 13 = 58968

Therefore, the value for common factors is 58968.

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 = 3485338549056/(1x58968)

LCM = 3485338549056/58968

LCM = 59105592

Thus, we can understand that the LCM of 546,189,291,468,248 is 59105592.

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

• LCM of 258, 346, 452, 494, 765
• LCM of 788, 939, 421, 333, 842
• LCM of 653, 167, 330, 157, 575
• LCM of 581, 951, 790, 443, 784
• LCM of 879, 311, 854, 586, 134

1. What is the LCM of 546, 189, 291, 468, 248?

Answer: LCM of 546, 189, 291, 468, 248 is 59105592.

2. How to calculate the LCM of 546, 189, 291, 468, 248?

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, 189, 291, 468, 248.

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}.