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LCM of 182, 268, 913, 242, 840

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


Find the LCM of 182, 268, 913, 242, 840 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 182, 268, 913, 242, 840. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 182,268,913,242,840

Given numbers are 182,268,913,242,840

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

The LCM of 182,268,913,242,840 is 7347860520.

Find LCM of 182,268,913,242,840 with Prime Factorization


2 182, 268, 913, 242, 840
2 91, 134, 913, 121, 420
7 91, 67, 913, 121, 210
11 13, 67, 913, 121, 30
13, 67, 83, 11, 30

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

2 x 2 x 7 x 11 x 13 x 67 x 83 x 11 x 30 = 7347860520

Therefore, the lowest common multiple of 182,268,913,242,840 is 7347860520.

LCM Formula to Find Lowest Common Multiple of 182,268,913,242,840

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.

182 x 268 x 913 x 242 x 840 = 9052564160640

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.

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

268 : 1, 2, 4, 67, 134, 268

913 : 1, 11, 83, 913

242 : 1, 2, 11, 22, 121, 242

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 182,268,913,242,840, is 1.

Now, the common factors can be found like this.

182:2x 7x 13

268:2x 2x 67

913:11x 83

242:2x 11x 11

840:2x 2x 2x 3x 5x 7

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 2x 2x 7x 11 = 1232

Therefore, the value for common factors is 1232.

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 = 9052564160640/(1x1232)

LCM = 9052564160640/1232

LCM = 7347860520

Thus, we can understand that the LCM of 182,268,913,242,840 is 7347860520.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 182, 268, 913, 242, 840

1. What is the LCM of 182, 268, 913, 242, 840?

Answer: LCM of 182, 268, 913, 242, 840 is 7347860520.

2. How to calculate the LCM of 182, 268, 913, 242, 840?

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 182, 268, 913, 242, 840.

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}.