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LCM of 776, 230, 133, 171

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


Find the LCM of 776, 230, 133, 171 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 776, 230, 133, 171. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 776,230,133,171

Given numbers are 776,230,133,171

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

The LCM of 776,230,133,171 is 106820280.

Find LCM of 776,230,133,171 with Prime Factorization


2 776, 230, 133, 171
19 388, 115, 133, 171
388, 115, 7, 9

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

2 x 19 x 388 x 115 x 7 x 9 = 106820280

Therefore, the lowest common multiple of 776,230,133,171 is 106820280.

LCM Formula to Find Lowest Common Multiple of 776,230,133,171

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.

776 x 230 x 133 x 171 = 4059170640

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.

776 : 1, 2, 4, 8, 97, 194, 388, 776

230 : 1, 2, 5, 10, 23, 46, 115, 230

133 : 1, 7, 19, 133

171 : 1, 3, 9, 19, 57, 171

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 776,230,133,171, is 1.

Now, the common factors can be found like this.

776:2x 2x 2x 97

230:2x 5x 23

133:7x 19

171:3x 3x 19

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

2x 19 = 38

Therefore, the value for common factors is 38.

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 = 4059170640/(1x38)

LCM = 4059170640/38

LCM = 106820280

Thus, we can understand that the LCM of 776,230,133,171 is 106820280.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 776, 230, 133, 171

1. What is the LCM of 776, 230, 133, 171?

Answer: LCM of 776, 230, 133, 171 is 106820280.

2. How to calculate the LCM of 776, 230, 133, 171?

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 776, 230, 133, 171.

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}.