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LCM of 599, 324, 846, 162, 113

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


Find the LCM of 599, 324, 846, 162, 113 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 599, 324, 846, 162, 113. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 599,324,846,162,113

Given numbers are 599,324,846,162,113

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

The LCM of 599,324,846,162,113 is 1030737636.

Find LCM of 599,324,846,162,113 with Prime Factorization


2 599, 324, 846, 162, 113
3 599, 162, 423, 81, 113
3 599, 54, 141, 27, 113
3 599, 18, 47, 9, 113
3 599, 6, 47, 3, 113
599, 2, 47, 1, 113

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

2 x 3 x 3 x 3 x 3 x 599 x 2 x 47 x 1 x 113 = 1030737636

Therefore, the lowest common multiple of 599,324,846,162,113 is 1030737636.

LCM Formula to Find Lowest Common Multiple of 599,324,846,162,113

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.

599 x 324 x 846 x 162 x 113 = 3005630946576

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.

599 : 1, 599

324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

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

162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162

113 : 1, 113

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 599,324,846,162,113, is 1.

Now, the common factors can be found like this.

599:599

324:2x 2x 3x 3x 3x 3

846:2x 3x 3x 47

162:2x 3x 3x 3x 3

113:113

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 3x 3x 3x 3x 3x 3 = 2916

Therefore, the value for common factors is 2916.

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 = 3005630946576/(1x2916)

LCM = 3005630946576/2916

LCM = 1030737636

Thus, we can understand that the LCM of 599,324,846,162,113 is 1030737636.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 599, 324, 846, 162, 113

1. What is the LCM of 599, 324, 846, 162, 113?

Answer: LCM of 599, 324, 846, 162, 113 is 1030737636.

2. How to calculate the LCM of 599, 324, 846, 162, 113?

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 599, 324, 846, 162, 113.

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}.