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LCM of 3524, 9560

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


Find the LCM of 3524, 9560 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 3524, 9560. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 3524,9560

Given numbers are 3524,9560

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

The LCM of 3524,9560 is 8422360.

Find LCM of 3524,9560 with Prime Factorization


2 3524, 9560
2 1762, 4780
881, 2390

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

2 x 2 x 881 x 2390 = 8422360

Therefore, the lowest common multiple of 3524,9560 is 8422360.

LCM Formula to Find Lowest Common Multiple of 3524,9560

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.

3524 x 9560 = 33689440

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.

3524 : 1, 2, 4, 881, 1762, 3524

9560 : 1, 2, 4, 5, 8, 10, 20, 40, 239, 478, 956, 1195, 1912, 2390, 4780, 9560

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 3524,9560, is 4.

Now, the common factors can be found like this.

3524:2x 2x 881

9560:2x 2x 2x 5x 239

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 = 33689440/(4x1)

LCM = 33689440/4

LCM = 8422360

Thus, we can understand that the LCM of 3524,9560 is 8422360.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 3524, 9560

1. What is the LCM of 3524, 9560?

Answer: LCM of 3524, 9560 is 8422360.

2. How to calculate the LCM of 3524, 9560?

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 3524, 9560.

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}.