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LCM of 161, 319, 230, 378

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


Find the LCM of 161, 319, 230, 378 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 161, 319, 230, 378. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 161,319,230,378

Given numbers are 161,319,230,378

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

The LCM of 161,319,230,378 is 13866930.

Find LCM of 161,319,230,378 with Prime Factorization


2 161, 319, 230, 378
7 161, 319, 115, 189
23 23, 319, 115, 27
1, 319, 5, 27

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

2 x 7 x 23 x 1 x 319 x 5 x 27 = 13866930

Therefore, the lowest common multiple of 161,319,230,378 is 13866930.

LCM Formula to Find Lowest Common Multiple of 161,319,230,378

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.

161 x 319 x 230 x 378 = 4465151460

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.

161 : 1, 7, 23, 161

319 : 1, 11, 29, 319

230 : 1, 2, 5, 10, 23, 46, 115, 230

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 161,319,230,378, is 1.

Now, the common factors can be found like this.

161:7x 23

319:11x 29

230:2x 5x 23

378:2x 3x 3x 3x 7

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

2x 7x 23 = 322

Therefore, the value for common factors is 322.

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 = 4465151460/(1x322)

LCM = 4465151460/322

LCM = 13866930

Thus, we can understand that the LCM of 161,319,230,378 is 13866930.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 161, 319, 230, 378

1. What is the LCM of 161, 319, 230, 378?

Answer: LCM of 161, 319, 230, 378 is 13866930.

2. How to calculate the LCM of 161, 319, 230, 378?

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 161, 319, 230, 378.

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}.