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LCM of 7148, 4064

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


Find the LCM of 7148, 4064 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 7148, 4064. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 7148,4064

Given numbers are 7148,4064

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

The LCM of 7148,4064 is 7262368.

Find LCM of 7148,4064 with Prime Factorization


2 7148, 4064
2 3574, 2032
1787, 1016

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

2 x 2 x 1787 x 1016 = 7262368

Therefore, the lowest common multiple of 7148,4064 is 7262368.

LCM Formula to Find Lowest Common Multiple of 7148,4064

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.

7148 x 4064 = 29049472

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.

7148 : 1, 2, 4, 1787, 3574, 7148

4064 : 1, 2, 4, 8, 16, 32, 127, 254, 508, 1016, 2032, 4064

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 7148,4064, is 4.

Now, the common factors can be found like this.

7148:2x 2x 1787

4064:2x 2x 2x 2x 2x 127

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 = 29049472/(4x1)

LCM = 29049472/4

LCM = 7262368

Thus, we can understand that the LCM of 7148,4064 is 7262368.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 7148, 4064

1. What is the LCM of 7148, 4064?

Answer: LCM of 7148, 4064 is 7262368.

2. How to calculate the LCM of 7148, 4064?

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 7148, 4064.

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}.