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LCM of 168, 553, 798, 889, 514

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


Find the LCM of 168, 553, 798, 889, 514 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 168, 553, 798, 889, 514. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 168,553,798,889,514

Given numbers are 168,553,798,889,514

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

The LCM of 168,553,798,889,514 is 8230511352.

Find LCM of 168,553,798,889,514 with Prime Factorization


2 168, 553, 798, 889, 514
3 84, 553, 399, 889, 257
7 28, 553, 133, 889, 257
4, 79, 19, 127, 257

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

2 x 3 x 7 x 4 x 79 x 19 x 127 x 257 = 8230511352

Therefore, the lowest common multiple of 168,553,798,889,514 is 8230511352.

LCM Formula to Find Lowest Common Multiple of 168,553,798,889,514

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.

168 x 553 x 798 x 889 x 514 = 33876784724832

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.

168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

553 : 1, 7, 79, 553

798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

889 : 1, 7, 127, 889

514 : 1, 2, 257, 514

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 168,553,798,889,514, is 1.

Now, the common factors can be found like this.

168:2x 2x 2x 3x 7

553:7x 79

798:2x 3x 7x 19

889:7x 127

514:2x 257

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 3x 7x 7x 7 = 4116

Therefore, the value for common factors is 4116.

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 = 33876784724832/(1x4116)

LCM = 33876784724832/4116

LCM = 8230511352

Thus, we can understand that the LCM of 168,553,798,889,514 is 8230511352.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 168, 553, 798, 889, 514

1. What is the LCM of 168, 553, 798, 889, 514?

Answer: LCM of 168, 553, 798, 889, 514 is 8230511352.

2. How to calculate the LCM of 168, 553, 798, 889, 514?

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 168, 553, 798, 889, 514.

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}.