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LCM of 529, 932, 104, 233, 682

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


Find the LCM of 529, 932, 104, 233, 682 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 529, 932, 104, 233, 682. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 529,932,104,233,682

Given numbers are 529,932,104,233,682

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

The LCM of 529,932,104,233,682 is 4371186248.

Find LCM of 529,932,104,233,682 with Prime Factorization


2 529, 932, 104, 233, 682
2 529, 466, 52, 233, 341
233 529, 233, 26, 233, 341
529, 1, 26, 1, 341

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

2 x 2 x 233 x 529 x 1 x 26 x 1 x 341 = 4371186248

Therefore, the lowest common multiple of 529,932,104,233,682 is 4371186248.

LCM Formula to Find Lowest Common Multiple of 529,932,104,233,682

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.

529 x 932 x 104 x 233 x 682 = 8147891166272

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.

529 : 1, 23, 529

932 : 1, 2, 4, 233, 466, 932

104 : 1, 2, 4, 8, 13, 26, 52, 104

233 : 1, 233

682 : 1, 2, 11, 22, 31, 62, 341, 682

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 529,932,104,233,682, is 1.

Now, the common factors can be found like this.

529:23x 23

932:2x 2x 233

104:2x 2x 2x 13

233:233

682:2x 11x 31

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

2x 2x 2x 233 = 1864

Therefore, the value for common factors is 1864.

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 = 8147891166272/(1x1864)

LCM = 8147891166272/1864

LCM = 4371186248

Thus, we can understand that the LCM of 529,932,104,233,682 is 4371186248.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 529, 932, 104, 233, 682

1. What is the LCM of 529, 932, 104, 233, 682?

Answer: LCM of 529, 932, 104, 233, 682 is 4371186248.

2. How to calculate the LCM of 529, 932, 104, 233, 682?

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 529, 932, 104, 233, 682.

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}.