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LCM of 4758, 9763

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


Find the LCM of 4758, 9763 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 4758, 9763. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 4758,9763

Given numbers are 4758,9763

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

The LCM of 4758,9763 is 3573258.

Find LCM of 4758,9763 with Prime Factorization


13 4758, 9763
366, 751

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

13 x 366 x 751 = 3573258

Therefore, the lowest common multiple of 4758,9763 is 3573258.

LCM Formula to Find Lowest Common Multiple of 4758,9763

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.

4758 x 9763 = 46452354

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.

4758 : 1, 2, 3, 6, 13, 26, 39, 61, 78, 122, 183, 366, 793, 1586, 2379, 4758

9763 : 1, 13, 751, 9763

13 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 4758,9763, is 13.

Now, the common factors can be found like this.

4758:2x 3x 13x 61

9763:13x 751

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 = 46452354/(13x1)

LCM = 46452354/13

LCM = 3573258

Thus, we can understand that the LCM of 4758,9763 is 3573258.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 4758, 9763

1. What is the LCM of 4758, 9763?

Answer: LCM of 4758, 9763 is 3573258.

2. How to calculate the LCM of 4758, 9763?

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 4758, 9763.

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}.