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LCM of 3711, 4746

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


Find the LCM of 3711, 4746 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 3711, 4746. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 3711,4746

Given numbers are 3711,4746

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

The LCM of 3711,4746 is 5870802.

Find LCM of 3711,4746 with Prime Factorization


3 3711, 4746
1237, 1582

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

3 x 1237 x 1582 = 5870802

Therefore, the lowest common multiple of 3711,4746 is 5870802.

LCM Formula to Find Lowest Common Multiple of 3711,4746

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.

3711 x 4746 = 17612406

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.

3711 : 1, 3, 1237, 3711

4746 : 1, 2, 3, 6, 7, 14, 21, 42, 113, 226, 339, 678, 791, 1582, 2373, 4746

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 3711,4746, is 3.

Now, the common factors can be found like this.

3711:3x 1237

4746:2x 3x 7x 113

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 = 17612406/(3x1)

LCM = 17612406/3

LCM = 5870802

Thus, we can understand that the LCM of 3711,4746 is 5870802.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 3711, 4746

1. What is the LCM of 3711, 4746?

Answer: LCM of 3711, 4746 is 5870802.

2. How to calculate the LCM of 3711, 4746?

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 3711, 4746.

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}.