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LCM of 376, 858, 936, 886

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


Find the LCM of 376, 858, 936, 886 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 376, 858, 936, 886. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 376,858,936,886

Given numbers are 376,858,936,886

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

The LCM of 376,858,936,886 is 214373016.

Find LCM of 376,858,936,886 with Prime Factorization


2 376, 858, 936, 886
2 188, 429, 468, 443
2 94, 429, 234, 443
3 47, 429, 117, 443
13 47, 143, 39, 443
47, 11, 3, 443

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

2 x 2 x 2 x 3 x 13 x 47 x 11 x 3 x 443 = 214373016

Therefore, the lowest common multiple of 376,858,936,886 is 214373016.

LCM Formula to Find Lowest Common Multiple of 376,858,936,886

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.

376 x 858 x 936 x 886 = 267537523968

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.

376 : 1, 2, 4, 8, 47, 94, 188, 376

858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

886 : 1, 2, 443, 886

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 376,858,936,886, is 2.

Now, the common factors can be found like this.

376:2x 2x 2x 47

858:2x 3x 11x 13

936:2x 2x 2x 3x 3x 13

886:2x 443

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

2x 2x 2x 2x 3x 13 = 624

Therefore, the value for common factors is 624.

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 = 267537523968/(2x624)

LCM = 267537523968/1248

LCM = 214373016

Thus, we can understand that the LCM of 376,858,936,886 is 214373016.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 376, 858, 936, 886

1. What is the LCM of 376, 858, 936, 886?

Answer: LCM of 376, 858, 936, 886 is 214373016.

2. How to calculate the LCM of 376, 858, 936, 886?

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 376, 858, 936, 886.

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}.