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LCM of 377, 370, 221, 183

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


Find the LCM of 377, 370, 221, 183 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 377, 370, 221, 183. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 377,370,221,183

Given numbers are 377,370,221,183

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

The LCM of 377,370,221,183 is 433953390.

Find LCM of 377,370,221,183 with Prime Factorization


13 377, 370, 221, 183
29, 370, 17, 183

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

13 x 29 x 370 x 17 x 183 = 433953390

Therefore, the lowest common multiple of 377,370,221,183 is 433953390.

LCM Formula to Find Lowest Common Multiple of 377,370,221,183

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.

377 x 370 x 221 x 183 = 5641394070

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.

377 : 1, 13, 29, 377

370 : 1, 2, 5, 10, 37, 74, 185, 370

221 : 1, 13, 17, 221

183 : 1, 3, 61, 183

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 377,370,221,183, is 1.

Now, the common factors can be found like this.

377:13x 29

370:2x 5x 37

221:13x 17

183:3x 61

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

13 = 13

Therefore, the value for common factors is 13.

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 = 5641394070/(1x13)

LCM = 5641394070/13

LCM = 433953390

Thus, we can understand that the LCM of 377,370,221,183 is 433953390.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 377, 370, 221, 183

1. What is the LCM of 377, 370, 221, 183?

Answer: LCM of 377, 370, 221, 183 is 433953390.

2. How to calculate the LCM of 377, 370, 221, 183?

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 377, 370, 221, 183.

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}.