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LCM of 326, 845, 688, 282

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


Find the LCM of 326, 845, 688, 282 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 326, 845, 688, 282. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 326,845,688,282

Given numbers are 326,845,688,282

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

The LCM of 326,845,688,282 is 13361396880.

Find LCM of 326,845,688,282 with Prime Factorization


2 326, 845, 688, 282
163, 845, 344, 141

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

2 x 163 x 845 x 344 x 141 = 13361396880

Therefore, the lowest common multiple of 326,845,688,282 is 13361396880.

LCM Formula to Find Lowest Common Multiple of 326,845,688,282

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.

326 x 845 x 688 x 282 = 53445587520

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.

326 : 1, 2, 163, 326

845 : 1, 5, 13, 65, 169, 845

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

282 : 1, 2, 3, 6, 47, 94, 141, 282

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 326,845,688,282, is 1.

Now, the common factors can be found like this.

326:2x 163

845:5x 13x 13

688:2x 2x 2x 2x 43

282:2x 3x 47

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 53445587520/(1x4)

LCM = 53445587520/4

LCM = 13361396880

Thus, we can understand that the LCM of 326,845,688,282 is 13361396880.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 326, 845, 688, 282

1. What is the LCM of 326, 845, 688, 282?

Answer: LCM of 326, 845, 688, 282 is 13361396880.

2. How to calculate the LCM of 326, 845, 688, 282?

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 326, 845, 688, 282.

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}.