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LCM of 802, 767, 104, 176, 177

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


Find the LCM of 802, 767, 104, 176, 177 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 802, 767, 104, 176, 177. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 802,767,104,176,177

Given numbers are 802,767,104,176,177

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

The LCM of 802,767,104,176,177 is 162395376.

Find LCM of 802,767,104,176,177 with Prime Factorization


2 802, 767, 104, 176, 177
2 401, 767, 52, 88, 177
2 401, 767, 26, 44, 177
13 401, 767, 13, 22, 177
59 401, 59, 1, 22, 177
401, 1, 1, 22, 3

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

2 x 2 x 2 x 13 x 59 x 401 x 1 x 1 x 22 x 3 = 162395376

Therefore, the lowest common multiple of 802,767,104,176,177 is 162395376.

LCM Formula to Find Lowest Common Multiple of 802,767,104,176,177

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.

802 x 767 x 104 x 176 x 177 = 1992916054272

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.

802 : 1, 2, 401, 802

767 : 1, 13, 59, 767

104 : 1, 2, 4, 8, 13, 26, 52, 104

176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176

177 : 1, 3, 59, 177

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 802,767,104,176,177, is 1.

Now, the common factors can be found like this.

802:2x 401

767:13x 59

104:2x 2x 2x 13

176:2x 2x 2x 2x 11

177:3x 59

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 13x 59 = 12272

Therefore, the value for common factors is 12272.

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 = 1992916054272/(1x12272)

LCM = 1992916054272/12272

LCM = 162395376

Thus, we can understand that the LCM of 802,767,104,176,177 is 162395376.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 802, 767, 104, 176, 177

1. What is the LCM of 802, 767, 104, 176, 177?

Answer: LCM of 802, 767, 104, 176, 177 is 162395376.

2. How to calculate the LCM of 802, 767, 104, 176, 177?

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 802, 767, 104, 176, 177.

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}.