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LCM of 5652, 1713

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


Find the LCM of 5652, 1713 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 5652, 1713. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 5652,1713

Given numbers are 5652,1713

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

The LCM of 5652,1713 is 3227292.

Find LCM of 5652,1713 with Prime Factorization


3 5652, 1713
1884, 571

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

3 x 1884 x 571 = 3227292

Therefore, the lowest common multiple of 5652,1713 is 3227292.

LCM Formula to Find Lowest Common Multiple of 5652,1713

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.

5652 x 1713 = 9681876

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.

5652 : 1, 2, 3, 4, 6, 9, 12, 18, 36, 157, 314, 471, 628, 942, 1413, 1884, 2826, 5652

1713 : 1, 3, 571, 1713

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 5652,1713, is 3.

Now, the common factors can be found like this.

5652:2x 2x 3x 3x 157

1713:3x 571

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 = 9681876/(3x1)

LCM = 9681876/3

LCM = 3227292

Thus, we can understand that the LCM of 5652,1713 is 3227292.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 5652, 1713

1. What is the LCM of 5652, 1713?

Answer: LCM of 5652, 1713 is 3227292.

2. How to calculate the LCM of 5652, 1713?

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 5652, 1713.

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}.