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LCM of 380, 911, 943, 710

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


Find the LCM of 380, 911, 943, 710 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, 911, 943, 710. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 380,911,943,710

Given numbers are 380,911,943,710

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

The LCM of 380,911,943,710 is 23177789540.

Find LCM of 380,911,943,710 with Prime Factorization


2 380, 911, 943, 710
5 190, 911, 943, 355
38, 911, 943, 71

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

2 x 5 x 38 x 911 x 943 x 71 = 23177789540

Therefore, the lowest common multiple of 380,911,943,710 is 23177789540.

LCM Formula to Find Lowest Common Multiple of 380,911,943,710

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 911 x 943 x 710 = 231777895400

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

911 : 1, 911

943 : 1, 23, 41, 943

710 : 1, 2, 5, 10, 71, 142, 355, 710

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 380,911,943,710, is 1.

Now, the common factors can be found like this.

380:2x 2x 5x 19

911:911

943:23x 41

710:2x 5x 71

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 = 231777895400/(1x10)

LCM = 231777895400/10

LCM = 23177789540

Thus, we can understand that the LCM of 380,911,943,710 is 23177789540.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 380, 911, 943, 710

1. What is the LCM of 380, 911, 943, 710?

Answer: LCM of 380, 911, 943, 710 is 23177789540.

2. How to calculate the LCM of 380, 911, 943, 710?

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, 911, 943, 710.

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}.