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LCM of 332, 529, 230, 145, 546

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


Find the LCM of 332, 529, 230, 145, 546 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 332, 529, 230, 145, 546. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 332,529,230,145,546

Given numbers are 332,529,230,145,546

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

The LCM of 332,529,230,145,546 is 6952234380.

Find LCM of 332,529,230,145,546 with Prime Factorization


2 332, 529, 230, 145, 546
5 166, 529, 115, 145, 273
23 166, 529, 23, 29, 273
166, 1, 23, 29, 273

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

2 x 5 x 23 x 166 x 1 x 23 x 29 x 273 = 6952234380

Therefore, the lowest common multiple of 332,529,230,145,546 is 6952234380.

LCM Formula to Find Lowest Common Multiple of 332,529,230,145,546

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.

332 x 529 x 230 x 145 x 546 = 3198027814800

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.

332 : 1, 2, 4, 83, 166, 332

529 : 1, 23, 529

230 : 1, 2, 5, 10, 23, 46, 115, 230

145 : 1, 5, 29, 145

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 332,529,230,145,546, is 1.

Now, the common factors can be found like this.

332:2x 2x 83

529:23x 23

230:2x 5x 23

145:5x 29

546:2x 3x 7x 13

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 5x 23 = 460

Therefore, the value for common factors is 460.

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 = 3198027814800/(1x460)

LCM = 3198027814800/460

LCM = 6952234380

Thus, we can understand that the LCM of 332,529,230,145,546 is 6952234380.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 332, 529, 230, 145, 546

1. What is the LCM of 332, 529, 230, 145, 546?

Answer: LCM of 332, 529, 230, 145, 546 is 6952234380.

2. How to calculate the LCM of 332, 529, 230, 145, 546?

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 332, 529, 230, 145, 546.

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}.