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LCM of 675, 272, 979, 171, 782

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


Find the LCM of 675, 272, 979, 171, 782 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 675, 272, 979, 171, 782. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 675,272,979,171,782

Given numbers are 675,272,979,171,782

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

The LCM of 675,272,979,171,782 is 78548302800.

Find LCM of 675,272,979,171,782 with Prime Factorization


2 675, 272, 979, 171, 782
3 675, 136, 979, 171, 391
3 225, 136, 979, 57, 391
17 75, 136, 979, 19, 391
75, 8, 979, 19, 23

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

2 x 3 x 3 x 17 x 75 x 8 x 979 x 19 x 23 = 78548302800

Therefore, the lowest common multiple of 675,272,979,171,782 is 78548302800.

LCM Formula to Find Lowest Common Multiple of 675,272,979,171,782

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.

675 x 272 x 979 x 171 x 782 = 24035780656800

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.

675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

979 : 1, 11, 89, 979

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

782 : 1, 2, 17, 23, 34, 46, 391, 782

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 675,272,979,171,782, is 1.

Now, the common factors can be found like this.

675:3x 3x 3x 5x 5

272:2x 2x 2x 2x 17

979:11x 89

171:3x 3x 19

782:2x 17x 23

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

2x 3x 3x 17 = 306

Therefore, the value for common factors is 306.

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 = 24035780656800/(1x306)

LCM = 24035780656800/306

LCM = 78548302800

Thus, we can understand that the LCM of 675,272,979,171,782 is 78548302800.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 675, 272, 979, 171, 782

1. What is the LCM of 675, 272, 979, 171, 782?

Answer: LCM of 675, 272, 979, 171, 782 is 78548302800.

2. How to calculate the LCM of 675, 272, 979, 171, 782?

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 675, 272, 979, 171, 782.

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}.