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LCM of 423, 455, 143, 524

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


Find the LCM of 423, 455, 143, 524 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 423, 455, 143, 524. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 423,455,143,524

Given numbers are 423,455,143,524

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

The LCM of 423,455,143,524 is 1109368260.

Find LCM of 423,455,143,524 with Prime Factorization


13 423, 455, 143, 524
423, 35, 11, 524

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

13 x 423 x 35 x 11 x 524 = 1109368260

Therefore, the lowest common multiple of 423,455,143,524 is 1109368260.

LCM Formula to Find Lowest Common Multiple of 423,455,143,524

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.

423 x 455 x 143 x 524 = 14421787380

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.

423 : 1, 3, 9, 47, 141, 423

455 : 1, 5, 7, 13, 35, 65, 91, 455

143 : 1, 11, 13, 143

524 : 1, 2, 4, 131, 262, 524

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 423,455,143,524, is 1.

Now, the common factors can be found like this.

423:3x 3x 47

455:5x 7x 13

143:11x 13

524:2x 2x 131

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

13 = 13

Therefore, the value for common factors is 13.

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 = 14421787380/(1x13)

LCM = 14421787380/13

LCM = 1109368260

Thus, we can understand that the LCM of 423,455,143,524 is 1109368260.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 423, 455, 143, 524

1. What is the LCM of 423, 455, 143, 524?

Answer: LCM of 423, 455, 143, 524 is 1109368260.

2. How to calculate the LCM of 423, 455, 143, 524?

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 423, 455, 143, 524.

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}.