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LCM of 682, 167, 969, 480

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


Find the LCM of 682, 167, 969, 480 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 682, 167, 969, 480. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 682,167,969,480

Given numbers are 682,167,969,480

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

The LCM of 682,167,969,480 is 8829062880.

Find LCM of 682,167,969,480 with Prime Factorization


2 682, 167, 969, 480
3 341, 167, 969, 240
341, 167, 323, 80

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

2 x 3 x 341 x 167 x 323 x 80 = 8829062880

Therefore, the lowest common multiple of 682,167,969,480 is 8829062880.

LCM Formula to Find Lowest Common Multiple of 682,167,969,480

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.

682 x 167 x 969 x 480 = 52974377280

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.

682 : 1, 2, 11, 22, 31, 62, 341, 682

167 : 1, 167

969 : 1, 3, 17, 19, 51, 57, 323, 969

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 682,167,969,480, is 1.

Now, the common factors can be found like this.

682:2x 11x 31

167:167

969:3x 17x 19

480:2x 2x 2x 2x 2x 3x 5

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 52974377280/(1x6)

LCM = 52974377280/6

LCM = 8829062880

Thus, we can understand that the LCM of 682,167,969,480 is 8829062880.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 682, 167, 969, 480

1. What is the LCM of 682, 167, 969, 480?

Answer: LCM of 682, 167, 969, 480 is 8829062880.

2. How to calculate the LCM of 682, 167, 969, 480?

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 682, 167, 969, 480.

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}.