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LCM of 8650, 5674

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


Find the LCM of 8650, 5674 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 8650, 5674. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 8650,5674

Given numbers are 8650,5674

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

The LCM of 8650,5674 is 24540050.

Find LCM of 8650,5674 with Prime Factorization


2 8650, 5674
4325, 2837

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

2 x 4325 x 2837 = 24540050

Therefore, the lowest common multiple of 8650,5674 is 24540050.

LCM Formula to Find Lowest Common Multiple of 8650,5674

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.

8650 x 5674 = 49080100

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.

8650 : 1, 2, 5, 10, 25, 50, 173, 346, 865, 1730, 4325, 8650

5674 : 1, 2, 2837, 5674

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 8650,5674, is 2.

Now, the common factors can be found like this.

8650:2x 5x 5x 173

5674:2x 2837

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 = 49080100/(2x1)

LCM = 49080100/2

LCM = 24540050

Thus, we can understand that the LCM of 8650,5674 is 24540050.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 8650, 5674

1. What is the LCM of 8650, 5674?

Answer: LCM of 8650, 5674 is 24540050.

2. How to calculate the LCM of 8650, 5674?

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 8650, 5674.

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}.