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LCM of 9146, 3485

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


Find the LCM of 9146, 3485 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 9146, 3485. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 9146,3485

Given numbers are 9146,3485

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

The LCM of 9146,3485 is 1874930.

Find LCM of 9146,3485 with Prime Factorization


17 9146, 3485
538, 205

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

17 x 538 x 205 = 1874930

Therefore, the lowest common multiple of 9146,3485 is 1874930.

LCM Formula to Find Lowest Common Multiple of 9146,3485

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.

9146 x 3485 = 31873810

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.

9146 : 1, 2, 17, 34, 269, 538, 4573, 9146

3485 : 1, 5, 17, 41, 85, 205, 697, 3485

17 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 9146,3485, is 17.

Now, the common factors can be found like this.

9146:2x 17x 269

3485:5x 17x 41

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 = 31873810/(17x1)

LCM = 31873810/17

LCM = 1874930

Thus, we can understand that the LCM of 9146,3485 is 1874930.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 9146, 3485

1. What is the LCM of 9146, 3485?

Answer: LCM of 9146, 3485 is 1874930.

2. How to calculate the LCM of 9146, 3485?

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 9146, 3485.

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}.