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LCM of 182, 308, 516, 870

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


Find the LCM of 182, 308, 516, 870 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, 308, 516, 870. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 182,308,516,870

Given numbers are 182,308,516,870

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

The LCM of 182,308,516,870 is 74894820.

Find LCM of 182,308,516,870 with Prime Factorization


2 182, 308, 516, 870
2 91, 154, 258, 435
3 91, 77, 129, 435
7 91, 77, 43, 145
13, 11, 43, 145

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

2 x 2 x 3 x 7 x 13 x 11 x 43 x 145 = 74894820

Therefore, the lowest common multiple of 182,308,516,870 is 74894820.

LCM Formula to Find Lowest Common Multiple of 182,308,516,870

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 308 x 516 x 870 = 25164659520

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

308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 182,308,516,870, is 2.

Now, the common factors can be found like this.

182:2x 7x 13

308:2x 2x 7x 11

516:2x 2x 3x 43

870:2x 3x 5x 29

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 3x 7 = 168

Therefore, the value for common factors is 168.

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 = 25164659520/(2x168)

LCM = 25164659520/336

LCM = 74894820

Thus, we can understand that the LCM of 182,308,516,870 is 74894820.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 182, 308, 516, 870

1. What is the LCM of 182, 308, 516, 870?

Answer: LCM of 182, 308, 516, 870 is 74894820.

2. How to calculate the LCM of 182, 308, 516, 870?

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, 308, 516, 870.

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}.