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LCM of 4736, 4474

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


Find the LCM of 4736, 4474 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 4736, 4474. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 4736,4474

Given numbers are 4736,4474

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

The LCM of 4736,4474 is 10594432.

Find LCM of 4736,4474 with Prime Factorization


2 4736, 4474
2368, 2237

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

2 x 2368 x 2237 = 10594432

Therefore, the lowest common multiple of 4736,4474 is 10594432.

LCM Formula to Find Lowest Common Multiple of 4736,4474

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.

4736 x 4474 = 21188864

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.

4736 : 1, 2, 4, 8, 16, 32, 37, 64, 74, 128, 148, 296, 592, 1184, 2368, 4736

4474 : 1, 2, 2237, 4474

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 4736,4474, is 2.

Now, the common factors can be found like this.

4736:2x 2x 2x 2x 2x 2x 2x 37

4474:2x 2237

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 = 21188864/(2x1)

LCM = 21188864/2

LCM = 10594432

Thus, we can understand that the LCM of 4736,4474 is 10594432.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 4736, 4474

1. What is the LCM of 4736, 4474?

Answer: LCM of 4736, 4474 is 10594432.

2. How to calculate the LCM of 4736, 4474?

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 4736, 4474.

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}.