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LCM of 943, 963, 987, 197, 856

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


Find the LCM of 943, 963, 987, 197, 856 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 943, 963, 987, 197, 856. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 943,963,987,197,856

Given numbers are 943,963,987,197,856

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

The LCM of 943,963,987,197,856 is 470858148936.

Find LCM of 943,963,987,197,856 with Prime Factorization


3 943, 963, 987, 197, 856
107 943, 321, 329, 197, 856
943, 3, 329, 197, 8

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

3 x 107 x 943 x 3 x 329 x 197 x 8 = 470858148936

Therefore, the lowest common multiple of 943,963,987,197,856 is 470858148936.

LCM Formula to Find Lowest Common Multiple of 943,963,987,197,856

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.

943 x 963 x 987 x 197 x 856 = 151145465808456

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.

943 : 1, 23, 41, 943

963 : 1, 3, 9, 107, 321, 963

987 : 1, 3, 7, 21, 47, 141, 329, 987

197 : 1, 197

856 : 1, 2, 4, 8, 107, 214, 428, 856

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 943,963,987,197,856, is 1.

Now, the common factors can be found like this.

943:23x 41

963:3x 3x 107

987:3x 7x 47

197:197

856:2x 2x 2x 107

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

3x 107 = 321

Therefore, the value for common factors is 321.

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 = 151145465808456/(1x321)

LCM = 151145465808456/321

LCM = 470858148936

Thus, we can understand that the LCM of 943,963,987,197,856 is 470858148936.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 943, 963, 987, 197, 856

1. What is the LCM of 943, 963, 987, 197, 856?

Answer: LCM of 943, 963, 987, 197, 856 is 470858148936.

2. How to calculate the LCM of 943, 963, 987, 197, 856?

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 943, 963, 987, 197, 856.

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}.