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LCM of 508, 7764

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


Find the LCM of 508, 7764 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 508, 7764. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 508,7764

Given numbers are 508,7764

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

The LCM of 508,7764 is 986028.

Find LCM of 508,7764 with Prime Factorization


2 508, 7764
2 254, 3882
127, 1941

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

2 x 2 x 127 x 1941 = 986028

Therefore, the lowest common multiple of 508,7764 is 986028.

LCM Formula to Find Lowest Common Multiple of 508,7764

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.

508 x 7764 = 3944112

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.

508 : 1, 2, 4, 127, 254, 508

7764 : 1, 2, 3, 4, 6, 12, 647, 1294, 1941, 2588, 3882, 7764

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 508,7764, is 4.

Now, the common factors can be found like this.

508:2x 2x 127

7764:2x 2x 3x 647

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 = 3944112/(4x1)

LCM = 3944112/4

LCM = 986028

Thus, we can understand that the LCM of 508,7764 is 986028.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 508, 7764

1. What is the LCM of 508, 7764?

Answer: LCM of 508, 7764 is 986028.

2. How to calculate the LCM of 508, 7764?

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 508, 7764.

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}.