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LCM of 970, 231, 838, 814

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


Find the LCM of 970, 231, 838, 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 970, 231, 838, 814. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 970,231,838,814

Given numbers are 970,231,838,814

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

The LCM of 970,231,838,814 is 3473757210.

Find LCM of 970,231,838,814 with Prime Factorization


2 970, 231, 838, 814
11 485, 231, 419, 407
485, 21, 419, 37

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

2 x 11 x 485 x 21 x 419 x 37 = 3473757210

Therefore, the lowest common multiple of 970,231,838,814 is 3473757210.

LCM Formula to Find Lowest Common Multiple of 970,231,838,814

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.

970 x 231 x 838 x 814 = 152845317240

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.

970 : 1, 2, 5, 10, 97, 194, 485, 970

231 : 1, 3, 7, 11, 21, 33, 77, 231

838 : 1, 2, 419, 838

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 970,231,838,814, is 1.

Now, the common factors can be found like this.

970:2x 5x 97

231:3x 7x 11

838:2x 419

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 2x 11 = 44

Therefore, the value for common factors is 44.

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 = 152845317240/(1x44)

LCM = 152845317240/44

LCM = 3473757210

Thus, we can understand that the LCM of 970,231,838,814 is 3473757210.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 970, 231, 838, 814

1. What is the LCM of 970, 231, 838, 814?

Answer: LCM of 970, 231, 838, 814 is 3473757210.

2. How to calculate the LCM of 970, 231, 838, 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 970, 231, 838, 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}.