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LCM of 6837, 1505

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


Find the LCM of 6837, 1505 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 6837, 1505. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 6837,1505

Given numbers are 6837,1505

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

The LCM of 6837,1505 is 239295.

Find LCM of 6837,1505 with Prime Factorization


43 6837, 1505
159, 35

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

43 x 159 x 35 = 239295

Therefore, the lowest common multiple of 6837,1505 is 239295.

LCM Formula to Find Lowest Common Multiple of 6837,1505

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.

6837 x 1505 = 10289685

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.

6837 : 1, 3, 43, 53, 129, 159, 2279, 6837

1505 : 1, 5, 7, 35, 43, 215, 301, 1505

43 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 6837,1505, is 43.

Now, the common factors can be found like this.

6837:3x 43x 53

1505:5x 7x 43

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

= 1

Therefore, the value for common factors is 1.

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 = 10289685/(43x1)

LCM = 10289685/43

LCM = 239295

Thus, we can understand that the LCM of 6837,1505 is 239295.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 6837, 1505

1. What is the LCM of 6837, 1505?

Answer: LCM of 6837, 1505 is 239295.

2. How to calculate the LCM of 6837, 1505?

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 6837, 1505.

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}.