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LCM of 115, 782, 685, 90

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


Find the LCM of 115, 782, 685, 90 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 115, 782, 685, 90. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 115,782,685,90

Given numbers are 115,782,685,90

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

The LCM of 115,782,685,90 is 4821030.

Find LCM of 115,782,685,90 with Prime Factorization


2 115, 782, 685, 90
5 115, 391, 685, 45
23 23, 391, 137, 9
1, 17, 137, 9

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

2 x 5 x 23 x 1 x 17 x 137 x 9 = 4821030

Therefore, the lowest common multiple of 115,782,685,90 is 4821030.

LCM Formula to Find Lowest Common Multiple of 115,782,685,90

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.

115 x 782 x 685 x 90 = 5544184500

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.

115 : 1, 5, 23, 115

782 : 1, 2, 17, 23, 34, 46, 391, 782

685 : 1, 5, 137, 685

90 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 115,782,685,90, is 1.

Now, the common factors can be found like this.

115:5x 23

782:2x 17x 23

685:5x 137

90:2x 3x 3x 5

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

2x 5x 5x 23 = 1150

Therefore, the value for common factors is 1150.

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 = 5544184500/(1x1150)

LCM = 5544184500/1150

LCM = 4821030

Thus, we can understand that the LCM of 115,782,685,90 is 4821030.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 115, 782, 685, 90

1. What is the LCM of 115, 782, 685, 90?

Answer: LCM of 115, 782, 685, 90 is 4821030.

2. How to calculate the LCM of 115, 782, 685, 90?

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 115, 782, 685, 90.

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}.