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LCM of 7390, 7564

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


Find the LCM of 7390, 7564 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 7390, 7564. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 7390,7564

Given numbers are 7390,7564

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

The LCM of 7390,7564 is 27948980.

Find LCM of 7390,7564 with Prime Factorization


2 7390, 7564
3695, 3782

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

2 x 3695 x 3782 = 27948980

Therefore, the lowest common multiple of 7390,7564 is 27948980.

LCM Formula to Find Lowest Common Multiple of 7390,7564

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.

7390 x 7564 = 55897960

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.

7390 : 1, 2, 5, 10, 739, 1478, 3695, 7390

7564 : 1, 2, 4, 31, 61, 62, 122, 124, 244, 1891, 3782, 7564

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 7390,7564, is 2.

Now, the common factors can be found like this.

7390:2x 5x 739

7564:2x 2x 31x 61

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 = 55897960/(2x1)

LCM = 55897960/2

LCM = 27948980

Thus, we can understand that the LCM of 7390,7564 is 27948980.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 7390, 7564

1. What is the LCM of 7390, 7564?

Answer: LCM of 7390, 7564 is 27948980.

2. How to calculate the LCM of 7390, 7564?

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 7390, 7564.

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}.