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LCM of 473, 138, 377, 914

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


Find the LCM of 473, 138, 377, 914 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 473, 138, 377, 914. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 473,138,377,914

Given numbers are 473,138,377,914

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

The LCM of 473,138,377,914 is 11245992186.

Find LCM of 473,138,377,914 with Prime Factorization


2 473, 138, 377, 914
473, 69, 377, 457

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

2 x 473 x 69 x 377 x 457 = 11245992186

Therefore, the lowest common multiple of 473,138,377,914 is 11245992186.

LCM Formula to Find Lowest Common Multiple of 473,138,377,914

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.

473 x 138 x 377 x 914 = 22491984372

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.

473 : 1, 11, 43, 473

138 : 1, 2, 3, 6, 23, 46, 69, 138

377 : 1, 13, 29, 377

914 : 1, 2, 457, 914

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 473,138,377,914, is 1.

Now, the common factors can be found like this.

473:11x 43

138:2x 3x 23

377:13x 29

914:2x 457

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

2 = 2

Therefore, the value for common factors is 2.

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 = 22491984372/(1x2)

LCM = 22491984372/2

LCM = 11245992186

Thus, we can understand that the LCM of 473,138,377,914 is 11245992186.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 473, 138, 377, 914

1. What is the LCM of 473, 138, 377, 914?

Answer: LCM of 473, 138, 377, 914 is 11245992186.

2. How to calculate the LCM of 473, 138, 377, 914?

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 473, 138, 377, 914.

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}.