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LCM of 835, 182, 329, 546

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


Find the LCM of 835, 182, 329, 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 835, 182, 329, 546. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 835,182,329,546

Given numbers are 835,182,329,546

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

The LCM of 835,182,329,546 is 21427770.

Find LCM of 835,182,329,546 with Prime Factorization


2 835, 182, 329, 546
7 835, 91, 329, 273
13 835, 13, 47, 39
835, 1, 47, 3

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

2 x 7 x 13 x 835 x 1 x 47 x 3 = 21427770

Therefore, the lowest common multiple of 835,182,329,546 is 21427770.

LCM Formula to Find Lowest Common Multiple of 835,182,329,546

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.

835 x 182 x 329 x 546 = 27298978980

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.

835 : 1, 5, 167, 835

182 : 1, 2, 7, 13, 14, 26, 91, 182

329 : 1, 7, 47, 329

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 835,182,329,546, is 1.

Now, the common factors can be found like this.

835:5x 167

182:2x 7x 13

329:7x 47

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 7x 7x 13 = 1274

Therefore, the value for common factors is 1274.

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 = 27298978980/(1x1274)

LCM = 27298978980/1274

LCM = 21427770

Thus, we can understand that the LCM of 835,182,329,546 is 21427770.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 835, 182, 329, 546

1. What is the LCM of 835, 182, 329, 546?

Answer: LCM of 835, 182, 329, 546 is 21427770.

2. How to calculate the LCM of 835, 182, 329, 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 835, 182, 329, 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}.