Given numbers are 185,30,277

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

The LCM of 185,30,277 is 307470.

Find LCM of 185,30,277 with Prime Factorization

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

5 x 37 x 6 x 277 = 307470

Therefore, the lowest common multiple of 185,30,277 is 307470.

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.

185 x 30 x 277 = 1537350

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.

185 : 1, 5, 37, 185

30 : 1, 2, 3, 5, 6, 10, 15, 30

277 : 1, 277

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 185,30,277, is 1.

Now, the common factors can be found like this.

185:5x 37

30:2x 3x 5

277:277

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

5 = 5

Therefore, the value for common factors is 5.

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 = 1537350/(1x5)

LCM = 1537350/5

LCM = 307470

Thus, we can understand that the LCM of 185,30,277 is 307470.

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

• LCM of 342, 87, 436
• LCM of 299, 35, 963
• LCM of 100, 82, 553
• LCM of 143, 61, 193
• LCM of 782, 38, 917

1. What is the LCM of 185, 30, 277?

Answer: LCM of 185, 30, 277 is 307470.

2. How to calculate the LCM of 185, 30, 277?

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 185, 30, 277.

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}.