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LCM of 684, 120, 380, 185

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 684, 120, 380, 185 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 684, 120, 380, 185. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 684,120,380,185

Given numbers are 684,120,380,185

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

The LCM of 684,120,380,185 is 253080.

Find LCM of 684,120,380,185 with Prime Factorization


2 684, 120, 380, 185
2 342, 60, 190, 185
3 171, 30, 95, 185
5 57, 10, 95, 185
19 57, 2, 19, 37
3, 2, 1, 37

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

2 x 2 x 3 x 5 x 19 x 3 x 2 x 1 x 37 = 253080

Therefore, the lowest common multiple of 684,120,380,185 is 253080.

LCM Formula to Find Lowest Common Multiple of 684,120,380,185

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.

684 x 120 x 380 x 185 = 5770224000

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.

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

185 : 1, 5, 37, 185

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 684,120,380,185, is 1.

Now, the common factors can be found like this.

684:2x 2x 3x 3x 19

120:2x 2x 2x 3x 5

380:2x 2x 5x 19

185:5x 37

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 2x 3x 5x 5x 19 = 22800

Therefore, the value for common factors is 22800.

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 = 5770224000/(1x22800)

LCM = 5770224000/22800

LCM = 253080

Thus, we can understand that the LCM of 684,120,380,185 is 253080.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 684, 120, 380, 185

1. What is the LCM of 684, 120, 380, 185?

Answer: LCM of 684, 120, 380, 185 is 253080.

2. How to calculate the LCM of 684, 120, 380, 185?

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 684, 120, 380, 185.

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}.