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LCM of 1403, 8648

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


Find the LCM of 1403, 8648 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 1403, 8648. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 1403,8648

Given numbers are 1403,8648

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

The LCM of 1403,8648 is 527528.

Find LCM of 1403,8648 with Prime Factorization


23 1403, 8648
61, 376

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

23 x 61 x 376 = 527528

Therefore, the lowest common multiple of 1403,8648 is 527528.

LCM Formula to Find Lowest Common Multiple of 1403,8648

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.

1403 x 8648 = 12133144

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.

1403 : 1, 23, 61, 1403

8648 : 1, 2, 4, 8, 23, 46, 47, 92, 94, 184, 188, 376, 1081, 2162, 4324, 8648

23 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 1403,8648, is 23.

Now, the common factors can be found like this.

1403:23x 61

8648:2x 2x 2x 23x 47

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 = 12133144/(23x1)

LCM = 12133144/23

LCM = 527528

Thus, we can understand that the LCM of 1403,8648 is 527528.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 1403, 8648

1. What is the LCM of 1403, 8648?

Answer: LCM of 1403, 8648 is 527528.

2. How to calculate the LCM of 1403, 8648?

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 1403, 8648.

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}.