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LCM of 185, 967, 814, 536

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


Find the LCM of 185, 967, 814, 536 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 185, 967, 814, 536. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 185,967,814,536

Given numbers are 185,967,814,536

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

The LCM of 185,967,814,536 is 1054764920.

Find LCM of 185,967,814,536 with Prime Factorization


2 185, 967, 814, 536
37 185, 967, 407, 268
5, 967, 11, 268

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

2 x 37 x 5 x 967 x 11 x 268 = 1054764920

Therefore, the lowest common multiple of 185,967,814,536 is 1054764920.

LCM Formula to Find Lowest Common Multiple of 185,967,814,536

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.

185 x 967 x 814 x 536 = 78052604080

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.

185 : 1, 5, 37, 185

967 : 1, 967

814 : 1, 2, 11, 22, 37, 74, 407, 814

536 : 1, 2, 4, 8, 67, 134, 268, 536

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 185,967,814,536, is 1.

Now, the common factors can be found like this.

185:5x 37

967:967

814:2x 11x 37

536:2x 2x 2x 67

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

2x 37 = 74

Therefore, the value for common factors is 74.

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 = 78052604080/(1x74)

LCM = 78052604080/74

LCM = 1054764920

Thus, we can understand that the LCM of 185,967,814,536 is 1054764920.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 185, 967, 814, 536

1. What is the LCM of 185, 967, 814, 536?

Answer: LCM of 185, 967, 814, 536 is 1054764920.

2. How to calculate the LCM of 185, 967, 814, 536?

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 185, 967, 814, 536.

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}.