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LCM of 376, 672, 188, 914

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


Find the LCM of 376, 672, 188, 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 376, 672, 188, 914. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 376,672,188,914

Given numbers are 376,672,188,914

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

The LCM of 376,672,188,914 is 14433888.

Find LCM of 376,672,188,914 with Prime Factorization


2 376, 672, 188, 914
2 188, 336, 94, 457
2 47, 168, 94, 457
47 47, 84, 47, 457
1, 84, 1, 457

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

2 x 2 x 2 x 47 x 1 x 84 x 1 x 457 = 14433888

Therefore, the lowest common multiple of 376,672,188,914 is 14433888.

LCM Formula to Find Lowest Common Multiple of 376,672,188,914

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.

376 x 672 x 188 x 914 = 43417135104

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

672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

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

914 : 1, 2, 457, 914

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 376,672,188,914, is 2.

Now, the common factors can be found like this.

376:2x 2x 2x 47

672:2x 2x 2x 2x 2x 3x 7

188:2x 2x 47

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.

2x 2x 2x 2x 2x 47 = 1504

Therefore, the value for common factors is 1504.

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 = 43417135104/(2x1504)

LCM = 43417135104/3008

LCM = 14433888

Thus, we can understand that the LCM of 376,672,188,914 is 14433888.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 376, 672, 188, 914

1. What is the LCM of 376, 672, 188, 914?

Answer: LCM of 376, 672, 188, 914 is 14433888.

2. How to calculate the LCM of 376, 672, 188, 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 376, 672, 188, 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}.