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LCM of 797, 145, 844, 128

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


Find the LCM of 797, 145, 844, 128 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 797, 145, 844, 128. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 797,145,844,128

Given numbers are 797,145,844,128

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

The LCM of 797,145,844,128 is 3121179520.

Find LCM of 797,145,844,128 with Prime Factorization


2 797, 145, 844, 128
2 797, 145, 422, 64
797, 145, 211, 32

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

2 x 2 x 797 x 145 x 211 x 32 = 3121179520

Therefore, the lowest common multiple of 797,145,844,128 is 3121179520.

LCM Formula to Find Lowest Common Multiple of 797,145,844,128

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.

797 x 145 x 844 x 128 = 12484718080

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.

797 : 1, 797

145 : 1, 5, 29, 145

844 : 1, 2, 4, 211, 422, 844

128 : 1, 2, 4, 8, 16, 32, 64, 128

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 797,145,844,128, is 1.

Now, the common factors can be found like this.

797:797

145:5x 29

844:2x 2x 211

128:2x 2x 2x 2x 2x 2x 2

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 12484718080/(1x4)

LCM = 12484718080/4

LCM = 3121179520

Thus, we can understand that the LCM of 797,145,844,128 is 3121179520.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 797, 145, 844, 128

1. What is the LCM of 797, 145, 844, 128?

Answer: LCM of 797, 145, 844, 128 is 3121179520.

2. How to calculate the LCM of 797, 145, 844, 128?

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 797, 145, 844, 128.

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}.