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LCM of 805, 651, 536, 341

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


Find the LCM of 805, 651, 536, 341 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 805, 651, 536, 341. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 805,651,536,341

Given numbers are 805,651,536,341

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

The LCM of 805,651,536,341 is 441404040.

Find LCM of 805,651,536,341 with Prime Factorization


7 805, 651, 536, 341
31 115, 93, 536, 341
115, 3, 536, 11

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

7 x 31 x 115 x 3 x 536 x 11 = 441404040

Therefore, the lowest common multiple of 805,651,536,341 is 441404040.

LCM Formula to Find Lowest Common Multiple of 805,651,536,341

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.

805 x 651 x 536 x 341 = 95784676680

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.

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

651 : 1, 3, 7, 21, 31, 93, 217, 651

536 : 1, 2, 4, 8, 67, 134, 268, 536

341 : 1, 11, 31, 341

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 805,651,536,341, is 1.

Now, the common factors can be found like this.

805:5x 7x 23

651:3x 7x 31

536:2x 2x 2x 67

341:11x 31

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

7x 31 = 217

Therefore, the value for common factors is 217.

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 = 95784676680/(1x217)

LCM = 95784676680/217

LCM = 441404040

Thus, we can understand that the LCM of 805,651,536,341 is 441404040.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 805, 651, 536, 341

1. What is the LCM of 805, 651, 536, 341?

Answer: LCM of 805, 651, 536, 341 is 441404040.

2. How to calculate the LCM of 805, 651, 536, 341?

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 805, 651, 536, 341.

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}.