Given numbers are 545,60,214

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

The LCM of 545,60,214 is 699780.

Find LCM of 545,60,214 with Prime Factorization

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

2 x 5 x 109 x 6 x 107 = 699780

Therefore, the lowest common multiple of 545,60,214 is 699780.

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.

545 x 60 x 214 = 6997800

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.

545 : 1, 5, 109, 545

60 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 545,60,214, is 1.

Now, the common factors can be found like this.

545:5x 109

60:2x 2x 3x 5

214:2x 107

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 6997800/(1x10)

LCM = 6997800/10

LCM = 699780

Thus, we can understand that the LCM of 545,60,214 is 699780.

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

• LCM of 401, 68, 941
• LCM of 534, 55, 263
• LCM of 112, 80, 385
• LCM of 846, 82, 803
• LCM of 188, 98, 255

1. What is the LCM of 545, 60, 214?

Answer: LCM of 545, 60, 214 is 699780.

2. How to calculate the LCM of 545, 60, 214?

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 545, 60, 214.

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}.