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LCM of 380, 342, 953, 663

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


Find the LCM of 380, 342, 953, 663 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 380, 342, 953, 663. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 380,342,953,663

Given numbers are 380,342,953,663

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

The LCM of 380,342,953,663 is 720296460.

Find LCM of 380,342,953,663 with Prime Factorization


2 380, 342, 953, 663
3 190, 171, 953, 663
19 190, 57, 953, 221
10, 3, 953, 221

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

2 x 3 x 19 x 10 x 3 x 953 x 221 = 720296460

Therefore, the lowest common multiple of 380,342,953,663 is 720296460.

LCM Formula to Find Lowest Common Multiple of 380,342,953,663

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.

380 x 342 x 953 x 663 = 82113796440

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.

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

342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

953 : 1, 953

663 : 1, 3, 13, 17, 39, 51, 221, 663

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 380,342,953,663, is 1.

Now, the common factors can be found like this.

380:2x 2x 5x 19

342:2x 3x 3x 19

953:953

663:3x 13x 17

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

2x 3x 19 = 114

Therefore, the value for common factors is 114.

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 = 82113796440/(1x114)

LCM = 82113796440/114

LCM = 720296460

Thus, we can understand that the LCM of 380,342,953,663 is 720296460.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 380, 342, 953, 663

1. What is the LCM of 380, 342, 953, 663?

Answer: LCM of 380, 342, 953, 663 is 720296460.

2. How to calculate the LCM of 380, 342, 953, 663?

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 380, 342, 953, 663.

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}.