Given numbers are 546,249,369

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

The LCM of 546,249,369 is 5574114.

Find LCM of 546,249,369 with Prime Factorization

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

3 x 182 x 83 x 123 = 5574114

Therefore, the lowest common multiple of 546,249,369 is 5574114.

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 249 x 369 = 50167026

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

249 : 1, 3, 83, 249

369 : 1, 3, 9, 41, 123, 369

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,249,369, is 3.

Now, the common factors can be found like this.

546:2x 3x 7x 13

249:3x 83

369:3x 3x 41

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

3 = 3

Therefore, the value for common factors is 3.

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 = 50167026/(3x3)

LCM = 50167026/9

LCM = 5574114

Thus, we can understand that the LCM of 546,249,369 is 5574114.

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

• LCM of 823, 107, 745
• LCM of 877, 258, 509
• LCM of 936, 562, 460
• LCM of 460, 142, 224
• LCM of 616, 679, 219

1. What is the LCM of 546, 249, 369?

Answer: LCM of 546, 249, 369 is 5574114.

2. How to calculate the LCM of 546, 249, 369?

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, 249, 369.

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}.