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LCM of 429, 281, 998, 514

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


Find the LCM of 429, 281, 998, 514 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 429, 281, 998, 514. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 429,281,998,514

Given numbers are 429,281,998,514

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

The LCM of 429,281,998,514 is 30919130814.

Find LCM of 429,281,998,514 with Prime Factorization


2 429, 281, 998, 514
429, 281, 499, 257

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

2 x 429 x 281 x 499 x 257 = 30919130814

Therefore, the lowest common multiple of 429,281,998,514 is 30919130814.

LCM Formula to Find Lowest Common Multiple of 429,281,998,514

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.

429 x 281 x 998 x 514 = 61838261628

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.

429 : 1, 3, 11, 13, 33, 39, 143, 429

281 : 1, 281

998 : 1, 2, 499, 998

514 : 1, 2, 257, 514

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 429,281,998,514, is 1.

Now, the common factors can be found like this.

429:3x 11x 13

281:281

998:2x 499

514:2x 257

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

2 = 2

Therefore, the value for common factors is 2.

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 = 61838261628/(1x2)

LCM = 61838261628/2

LCM = 30919130814

Thus, we can understand that the LCM of 429,281,998,514 is 30919130814.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 429, 281, 998, 514

1. What is the LCM of 429, 281, 998, 514?

Answer: LCM of 429, 281, 998, 514 is 30919130814.

2. How to calculate the LCM of 429, 281, 998, 514?

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 429, 281, 998, 514.

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}.