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LCM of 2764, 8742

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


Find the LCM of 2764, 8742 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 2764, 8742. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 2764,8742

Given numbers are 2764,8742

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

The LCM of 2764,8742 is 12081444.

Find LCM of 2764,8742 with Prime Factorization


2 2764, 8742
1382, 4371

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

2 x 1382 x 4371 = 12081444

Therefore, the lowest common multiple of 2764,8742 is 12081444.

LCM Formula to Find Lowest Common Multiple of 2764,8742

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.

2764 x 8742 = 24162888

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.

2764 : 1, 2, 4, 691, 1382, 2764

8742 : 1, 2, 3, 6, 31, 47, 62, 93, 94, 141, 186, 282, 1457, 2914, 4371, 8742

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 2764,8742, is 2.

Now, the common factors can be found like this.

2764:2x 2x 691

8742:2x 3x 31x 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 = 24162888/(2x1)

LCM = 24162888/2

LCM = 12081444

Thus, we can understand that the LCM of 2764,8742 is 12081444.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 2764, 8742

1. What is the LCM of 2764, 8742?

Answer: LCM of 2764, 8742 is 12081444.

2. How to calculate the LCM of 2764, 8742?

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 2764, 8742.

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}.