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LCM of 156, 331, 489, 313, 846

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


Find the LCM of 156, 331, 489, 313, 846 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 156, 331, 489, 313, 846. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 156,331,489,313,846

Given numbers are 156,331,489,313,846

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

The LCM of 156,331,489,313,846 is 371452808844.

Find LCM of 156,331,489,313,846 with Prime Factorization


2 156, 331, 489, 313, 846
3 78, 331, 489, 313, 423
26, 331, 163, 313, 141

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

2 x 3 x 26 x 331 x 163 x 313 x 141 = 371452808844

Therefore, the lowest common multiple of 156,331,489,313,846 is 371452808844.

LCM Formula to Find Lowest Common Multiple of 156,331,489,313,846

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.

156 x 331 x 489 x 313 x 846 = 6686150559192

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.

156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

331 : 1, 331

489 : 1, 3, 163, 489

313 : 1, 313

846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 156,331,489,313,846, is 1.

Now, the common factors can be found like this.

156:2x 2x 3x 13

331:331

489:3x 163

313:313

846:2x 3x 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 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 6686150559192/(1x18)

LCM = 6686150559192/18

LCM = 371452808844

Thus, we can understand that the LCM of 156,331,489,313,846 is 371452808844.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 156, 331, 489, 313, 846

1. What is the LCM of 156, 331, 489, 313, 846?

Answer: LCM of 156, 331, 489, 313, 846 is 371452808844.

2. How to calculate the LCM of 156, 331, 489, 313, 846?

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 156, 331, 489, 313, 846.

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}.