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LCM of 767, 180, 649, 622, 176

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


Find the LCM of 767, 180, 649, 622, 176 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 767, 180, 649, 622, 176. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 767,180,649,622,176

Given numbers are 767,180,649,622,176

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

The LCM of 767,180,649,622,176 is 1889213040.

Find LCM of 767,180,649,622,176 with Prime Factorization


2 767, 180, 649, 622, 176
2 767, 90, 649, 311, 88
11 767, 45, 649, 311, 44
59 767, 45, 59, 311, 4
13, 45, 1, 311, 4

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

2 x 2 x 11 x 59 x 13 x 45 x 1 x 311 x 4 = 1889213040

Therefore, the lowest common multiple of 767,180,649,622,176 is 1889213040.

LCM Formula to Find Lowest Common Multiple of 767,180,649,622,176

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.

767 x 180 x 649 x 622 x 176 = 9808794103680

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.

767 : 1, 13, 59, 767

180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

649 : 1, 11, 59, 649

622 : 1, 2, 311, 622

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 767,180,649,622,176, is 1.

Now, the common factors can be found like this.

767:13x 59

180:2x 2x 3x 3x 5

649:11x 59

622:2x 311

176:2x 2x 2x 2x 11

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 11x 59 = 5192

Therefore, the value for common factors is 5192.

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 = 9808794103680/(1x5192)

LCM = 9808794103680/5192

LCM = 1889213040

Thus, we can understand that the LCM of 767,180,649,622,176 is 1889213040.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 767, 180, 649, 622, 176

1. What is the LCM of 767, 180, 649, 622, 176?

Answer: LCM of 767, 180, 649, 622, 176 is 1889213040.

2. How to calculate the LCM of 767, 180, 649, 622, 176?

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 767, 180, 649, 622, 176.

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}.