Given numbers are 39,57,57,97,546

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

The LCM of 39,57,57,97,546 is 1006278.

Find LCM of 39,57,57,97,546 with Prime Factorization

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

3 x 13 x 19 x 1 x 1 x 1 x 97 x 14 = 1006278

Therefore, the lowest common multiple of 39,57,57,97,546 is 1006278.

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.

39 x 57 x 57 x 97 x 546 = 6710867982

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.

39 : 1, 3, 13, 39

57 : 1, 3, 19, 57

57 : 1, 3, 19, 57

97 : 1, 97

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 39,57,57,97,546, is 1.

Now, the common factors can be found like this.

39:3x 13

57:3x 19

57:3x 19

97:97

546:2x 3x 7x 13

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 3x 3x 13x 19 = 6669

Therefore, the value for common factors is 6669.

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 = 6710867982/(1x6669)

LCM = 6710867982/6669

LCM = 1006278

Thus, we can understand that the LCM of 39,57,57,97,546 is 1006278.

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

• LCM of 48, 46, 16, 46, 245
• LCM of 36, 29, 10, 19, 519
• LCM of 72, 69, 76, 40, 275
• LCM of 99, 35, 36, 92, 255
• LCM of 90, 42, 31, 93, 623

1. What is the LCM of 39, 57, 57, 97, 546?

Answer: LCM of 39, 57, 57, 97, 546 is 1006278.

2. How to calculate the LCM of 39, 57, 57, 97, 546?

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 39, 57, 57, 97, 546.

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}.