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LCM of 3454, 7652

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


Find the LCM of 3454, 7652 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 3454, 7652. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 3454,7652

Given numbers are 3454,7652

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

The LCM of 3454,7652 is 13215004.

Find LCM of 3454,7652 with Prime Factorization


2 3454, 7652
1727, 3826

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

2 x 1727 x 3826 = 13215004

Therefore, the lowest common multiple of 3454,7652 is 13215004.

LCM Formula to Find Lowest Common Multiple of 3454,7652

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.

3454 x 7652 = 26430008

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.

3454 : 1, 2, 11, 22, 157, 314, 1727, 3454

7652 : 1, 2, 4, 1913, 3826, 7652

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 3454,7652, is 2.

Now, the common factors can be found like this.

3454:2x 11x 157

7652:2x 2x 1913

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 = 26430008/(2x1)

LCM = 26430008/2

LCM = 13215004

Thus, we can understand that the LCM of 3454,7652 is 13215004.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 3454, 7652

1. What is the LCM of 3454, 7652?

Answer: LCM of 3454, 7652 is 13215004.

2. How to calculate the LCM of 3454, 7652?

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 3454, 7652.

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}.