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LCM of 364, 965, 871, 617

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


Find the LCM of 364, 965, 871, 617 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 364, 965, 871, 617. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 364,965,871,617

Given numbers are 364,965,871,617

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

The LCM of 364,965,871,617 is 14520737140.

Find LCM of 364,965,871,617 with Prime Factorization


13 364, 965, 871, 617
28, 965, 67, 617

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

13 x 28 x 965 x 67 x 617 = 14520737140

Therefore, the lowest common multiple of 364,965,871,617 is 14520737140.

LCM Formula to Find Lowest Common Multiple of 364,965,871,617

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.

364 x 965 x 871 x 617 = 188769582820

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.

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

965 : 1, 5, 193, 965

871 : 1, 13, 67, 871

617 : 1, 617

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 364,965,871,617, is 1.

Now, the common factors can be found like this.

364:2x 2x 7x 13

965:5x 193

871:13x 67

617:617

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 = 188769582820/(1x13)

LCM = 188769582820/13

LCM = 14520737140

Thus, we can understand that the LCM of 364,965,871,617 is 14520737140.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 364, 965, 871, 617

1. What is the LCM of 364, 965, 871, 617?

Answer: LCM of 364, 965, 871, 617 is 14520737140.

2. How to calculate the LCM of 364, 965, 871, 617?

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 364, 965, 871, 617.

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}.