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LCM of 4706, 2214

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


Find the LCM of 4706, 2214 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 4706, 2214. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 4706,2214

Given numbers are 4706,2214

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

The LCM of 4706,2214 is 5209542.

Find LCM of 4706,2214 with Prime Factorization


2 4706, 2214
2353, 1107

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

2 x 2353 x 1107 = 5209542

Therefore, the lowest common multiple of 4706,2214 is 5209542.

LCM Formula to Find Lowest Common Multiple of 4706,2214

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.

4706 x 2214 = 10419084

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.

4706 : 1, 2, 13, 26, 181, 362, 2353, 4706

2214 : 1, 2, 3, 6, 9, 18, 27, 41, 54, 82, 123, 246, 369, 738, 1107, 2214

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 4706,2214, is 2.

Now, the common factors can be found like this.

4706:2x 13x 181

2214:2x 3x 3x 3x 41

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 = 10419084/(2x1)

LCM = 10419084/2

LCM = 5209542

Thus, we can understand that the LCM of 4706,2214 is 5209542.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 4706, 2214

1. What is the LCM of 4706, 2214?

Answer: LCM of 4706, 2214 is 5209542.

2. How to calculate the LCM of 4706, 2214?

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 4706, 2214.

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}.