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LCM of 1463, 5434

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


Find the LCM of 1463, 5434 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 1463, 5434. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 1463,5434

Given numbers are 1463,5434

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

The LCM of 1463,5434 is 38038.

Find LCM of 1463,5434 with Prime Factorization


11 1463, 5434
19 133, 494
7, 26

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

11 x 19 x 7 x 26 = 38038

Therefore, the lowest common multiple of 1463,5434 is 38038.

LCM Formula to Find Lowest Common Multiple of 1463,5434

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.

1463 x 5434 = 7949942

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.

1463 : 1, 7, 11, 19, 77, 133, 209, 1463

5434 : 1, 2, 11, 13, 19, 22, 26, 38, 143, 209, 247, 286, 418, 494, 2717, 5434

209 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 1463,5434, is 209.

Now, the common factors can be found like this.

1463:7x 11x 19

5434:2x 11x 13x 19

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 = 7949942/(209x1)

LCM = 7949942/209

LCM = 38038

Thus, we can understand that the LCM of 1463,5434 is 38038.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 1463, 5434

1. What is the LCM of 1463, 5434?

Answer: LCM of 1463, 5434 is 38038.

2. How to calculate the LCM of 1463, 5434?

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 1463, 5434.

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}.