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LCM of 7804, 7464

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


Find the LCM of 7804, 7464 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 7804, 7464. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 7804,7464

Given numbers are 7804,7464

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

The LCM of 7804,7464 is 14562264.

Find LCM of 7804,7464 with Prime Factorization


2 7804, 7464
2 3902, 3732
1951, 1866

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

2 x 2 x 1951 x 1866 = 14562264

Therefore, the lowest common multiple of 7804,7464 is 14562264.

LCM Formula to Find Lowest Common Multiple of 7804,7464

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.

7804 x 7464 = 58249056

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.

7804 : 1, 2, 4, 1951, 3902, 7804

7464 : 1, 2, 3, 4, 6, 8, 12, 24, 311, 622, 933, 1244, 1866, 2488, 3732, 7464

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 7804,7464, is 4.

Now, the common factors can be found like this.

7804:2x 2x 1951

7464:2x 2x 2x 3x 311

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 = 58249056/(4x1)

LCM = 58249056/4

LCM = 14562264

Thus, we can understand that the LCM of 7804,7464 is 14562264.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 7804, 7464

1. What is the LCM of 7804, 7464?

Answer: LCM of 7804, 7464 is 14562264.

2. How to calculate the LCM of 7804, 7464?

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 7804, 7464.

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}.