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LCM of 306, 676, 899, 962, 497

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


Find the LCM of 306, 676, 899, 962, 497 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 306, 676, 899, 962, 497. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 306,676,899,962,497

Given numbers are 306,676,899,962,497

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

The LCM of 306,676,899,962,497 is 1709841805308.

Find LCM of 306,676,899,962,497 with Prime Factorization


2 306, 676, 899, 962, 497
13 153, 338, 899, 481, 497
153, 26, 899, 37, 497

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

2 x 13 x 153 x 26 x 899 x 37 x 497 = 1709841805308

Therefore, the lowest common multiple of 306,676,899,962,497 is 1709841805308.

LCM Formula to Find Lowest Common Multiple of 306,676,899,962,497

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.

306 x 676 x 899 x 962 x 497 = 88911773876016

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.

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

899 : 1, 29, 31, 899

962 : 1, 2, 13, 26, 37, 74, 481, 962

497 : 1, 7, 71, 497

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 306,676,899,962,497, is 1.

Now, the common factors can be found like this.

306:2x 3x 3x 17

676:2x 2x 13x 13

899:29x 31

962:2x 13x 37

497:7x 71

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 13 = 52

Therefore, the value for common factors is 52.

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 = 88911773876016/(1x52)

LCM = 88911773876016/52

LCM = 1709841805308

Thus, we can understand that the LCM of 306,676,899,962,497 is 1709841805308.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 306, 676, 899, 962, 497

1. What is the LCM of 306, 676, 899, 962, 497?

Answer: LCM of 306, 676, 899, 962, 497 is 1709841805308.

2. How to calculate the LCM of 306, 676, 899, 962, 497?

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 306, 676, 899, 962, 497.

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}.