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LCM of 665, 458, 347, 326, 835

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


Find the LCM of 665, 458, 347, 326, 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 665, 458, 347, 326, 835. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 665,458,347,326,835

Given numbers are 665,458,347,326,835

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

The LCM of 665,458,347,326,835 is 2876872889590.

Find LCM of 665,458,347,326,835 with Prime Factorization


2 665, 458, 347, 326, 835
5 665, 229, 347, 163, 835
133, 229, 347, 163, 167

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

2 x 5 x 133 x 229 x 347 x 163 x 167 = 2876872889590

Therefore, the lowest common multiple of 665,458,347,326,835 is 2876872889590.

LCM Formula to Find Lowest Common Multiple of 665,458,347,326,835

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.

665 x 458 x 347 x 326 x 835 = 28768728895900

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.

665 : 1, 5, 7, 19, 35, 95, 133, 665

458 : 1, 2, 229, 458

347 : 1, 347

326 : 1, 2, 163, 326

835 : 1, 5, 167, 835

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 665,458,347,326,835, is 1.

Now, the common factors can be found like this.

665:5x 7x 19

458:2x 229

347:347

326:2x 163

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 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 = 28768728895900/(1x10)

LCM = 28768728895900/10

LCM = 2876872889590

Thus, we can understand that the LCM of 665,458,347,326,835 is 2876872889590.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 665, 458, 347, 326, 835

1. What is the LCM of 665, 458, 347, 326, 835?

Answer: LCM of 665, 458, 347, 326, 835 is 2876872889590.

2. How to calculate the LCM of 665, 458, 347, 326, 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 665, 458, 347, 326, 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}.