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LCM of 1639, 6109

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


Find the LCM of 1639, 6109 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 1639, 6109. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 1639,6109

Given numbers are 1639,6109

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

The LCM of 1639,6109 is 67199.

Find LCM of 1639,6109 with Prime Factorization


149 1639, 6109
11, 41

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

149 x 11 x 41 = 67199

Therefore, the lowest common multiple of 1639,6109 is 67199.

LCM Formula to Find Lowest Common Multiple of 1639,6109

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.

1639 x 6109 = 10012651

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.

1639 : 1, 11, 149, 1639

6109 : 1, 41, 149, 6109

149 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 1639,6109, is 149.

Now, the common factors can be found like this.

1639:11x 149

6109:41x 149

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 = 10012651/(149x1)

LCM = 10012651/149

LCM = 67199

Thus, we can understand that the LCM of 1639,6109 is 67199.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 1639, 6109

1. What is the LCM of 1639, 6109?

Answer: LCM of 1639, 6109 is 67199.

2. How to calculate the LCM of 1639, 6109?

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 1639, 6109.

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}.