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LCM of 969, 649, 308, 814

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


Find the LCM of 969, 649, 308, 814 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 969, 649, 308, 814. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 969,649,308,814

Given numbers are 969,649,308,814

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

The LCM of 969,649,308,814 is 651520716.

Find LCM of 969,649,308,814 with Prime Factorization


2 969, 649, 308, 814
11 969, 649, 154, 407
969, 59, 14, 37

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

2 x 11 x 969 x 59 x 14 x 37 = 651520716

Therefore, the lowest common multiple of 969,649,308,814 is 651520716.

LCM Formula to Find Lowest Common Multiple of 969,649,308,814

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.

969 x 649 x 308 x 814 = 157668013272

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.

969 : 1, 3, 17, 19, 51, 57, 323, 969

649 : 1, 11, 59, 649

308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

814 : 1, 2, 11, 22, 37, 74, 407, 814

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 969,649,308,814, is 1.

Now, the common factors can be found like this.

969:3x 17x 19

649:11x 59

308:2x 2x 7x 11

814:2x 11x 37

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

2x 11x 11 = 242

Therefore, the value for common factors is 242.

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 = 157668013272/(1x242)

LCM = 157668013272/242

LCM = 651520716

Thus, we can understand that the LCM of 969,649,308,814 is 651520716.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 969, 649, 308, 814

1. What is the LCM of 969, 649, 308, 814?

Answer: LCM of 969, 649, 308, 814 is 651520716.

2. How to calculate the LCM of 969, 649, 308, 814?

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 969, 649, 308, 814.

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}.