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LCM of 871, 429, 661, 851, 964

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


Find the LCM of 871, 429, 661, 851, 964 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 871, 429, 661, 851, 964. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 871,429,661,851,964

Given numbers are 871,429,661,851,964

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

The LCM of 871,429,661,851,964 is 15586196540772.

Find LCM of 871,429,661,851,964 with Prime Factorization


13 871, 429, 661, 851, 964
67, 33, 661, 851, 964

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

13 x 67 x 33 x 661 x 851 x 964 = 15586196540772

Therefore, the lowest common multiple of 871,429,661,851,964 is 15586196540772.

LCM Formula to Find Lowest Common Multiple of 871,429,661,851,964

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.

871 x 429 x 661 x 851 x 964 = 202620555030036

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.

871 : 1, 13, 67, 871

429 : 1, 3, 11, 13, 33, 39, 143, 429

661 : 1, 661

851 : 1, 23, 37, 851

964 : 1, 2, 4, 241, 482, 964

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 871,429,661,851,964, is 1.

Now, the common factors can be found like this.

871:13x 67

429:3x 11x 13

661:661

851:23x 37

964:2x 2x 241

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

13 = 13

Therefore, the value for common factors is 13.

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 = 202620555030036/(1x13)

LCM = 202620555030036/13

LCM = 15586196540772

Thus, we can understand that the LCM of 871,429,661,851,964 is 15586196540772.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 871, 429, 661, 851, 964

1. What is the LCM of 871, 429, 661, 851, 964?

Answer: LCM of 871, 429, 661, 851, 964 is 15586196540772.

2. How to calculate the LCM of 871, 429, 661, 851, 964?

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 871, 429, 661, 851, 964.

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}.