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LCM of 914, 668, 835

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


Find the LCM of 914, 668, 835 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 914, 668, 835. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 914,668,835

Given numbers are 914,668,835

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

The LCM of 914,668,835 is 1526380.

Find LCM of 914,668,835 with Prime Factorization


2 914, 668, 835
167 457, 334, 835
457, 2, 5

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

2 x 167 x 457 x 2 x 5 = 1526380

Therefore, the lowest common multiple of 914,668,835 is 1526380.

LCM Formula to Find Lowest Common Multiple of 914,668,835

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.

914 x 668 x 835 = 509810920

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.

914 : 1, 2, 457, 914

668 : 1, 2, 4, 167, 334, 668

835 : 1, 5, 167, 835

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 914,668,835, is 1.

Now, the common factors can be found like this.

914:2x 457

668:2x 2x 167

835:5x 167

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

2x 167 = 334

Therefore, the value for common factors is 334.

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 = 509810920/(1x334)

LCM = 509810920/334

LCM = 1526380

Thus, we can understand that the LCM of 914,668,835 is 1526380.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 914, 668, 835

1. What is the LCM of 914, 668, 835?

Answer: LCM of 914, 668, 835 is 1526380.

2. How to calculate the LCM of 914, 668, 835?

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 914, 668, 835.

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}.