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LCM of 703, 969, 615, 531, 816

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


Find the LCM of 703, 969, 615, 531, 816 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 703, 969, 615, 531, 816. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 703,969,615,531,816

Given numbers are 703,969,615,531,816

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

The LCM of 703,969,615,531,816 is 20814817680.

Find LCM of 703,969,615,531,816 with Prime Factorization


3 703, 969, 615, 531, 816
17 703, 323, 205, 177, 272
19 703, 19, 205, 177, 16
37, 1, 205, 177, 16

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

3 x 17 x 19 x 37 x 1 x 205 x 177 x 16 = 20814817680

Therefore, the lowest common multiple of 703,969,615,531,816 is 20814817680.

LCM Formula to Find Lowest Common Multiple of 703,969,615,531,816

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.

703 x 969 x 615 x 531 x 816 = 181526024987280

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.

703 : 1, 19, 37, 703

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

615 : 1, 3, 5, 15, 41, 123, 205, 615

531 : 1, 3, 9, 59, 177, 531

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 703,969,615,531,816, is 1.

Now, the common factors can be found like this.

703:19x 37

969:3x 17x 19

615:3x 5x 41

531:3x 3x 59

816:2x 2x 2x 2x 3x 17

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

3x 3x 3x 17x 19 = 8721

Therefore, the value for common factors is 8721.

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 = 181526024987280/(1x8721)

LCM = 181526024987280/8721

LCM = 20814817680

Thus, we can understand that the LCM of 703,969,615,531,816 is 20814817680.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 703, 969, 615, 531, 816

1. What is the LCM of 703, 969, 615, 531, 816?

Answer: LCM of 703, 969, 615, 531, 816 is 20814817680.

2. How to calculate the LCM of 703, 969, 615, 531, 816?

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 703, 969, 615, 531, 816.

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}.