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LCM of 197, 128, 788, 805, 293

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


Find the LCM of 197, 128, 788, 805, 293 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 197, 128, 788, 805, 293. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 197,128,788,805,293

Given numbers are 197,128,788,805,293

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

The LCM of 197,128,788,805,293 is 5947571840.

Find LCM of 197,128,788,805,293 with Prime Factorization


2 197, 128, 788, 805, 293
2 197, 64, 394, 805, 293
197 197, 32, 197, 805, 293
1, 32, 1, 805, 293

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

2 x 2 x 197 x 1 x 32 x 1 x 805 x 293 = 5947571840

Therefore, the lowest common multiple of 197,128,788,805,293 is 5947571840.

LCM Formula to Find Lowest Common Multiple of 197,128,788,805,293

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.

197 x 128 x 788 x 805 x 293 = 4686686609920

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.

197 : 1, 197

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

788 : 1, 2, 4, 197, 394, 788

805 : 1, 5, 7, 23, 35, 115, 161, 805

293 : 1, 293

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 197,128,788,805,293, is 1.

Now, the common factors can be found like this.

197:197

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

788:2x 2x 197

805:5x 7x 23

293:293

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 197 = 788

Therefore, the value for common factors is 788.

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 = 4686686609920/(1x788)

LCM = 4686686609920/788

LCM = 5947571840

Thus, we can understand that the LCM of 197,128,788,805,293 is 5947571840.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 197, 128, 788, 805, 293

1. What is the LCM of 197, 128, 788, 805, 293?

Answer: LCM of 197, 128, 788, 805, 293 is 5947571840.

2. How to calculate the LCM of 197, 128, 788, 805, 293?

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 197, 128, 788, 805, 293.

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}.