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LCM of 684, 927, 816, 698

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


Find the LCM of 684, 927, 816, 698 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 684, 927, 816, 698. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 684,927,816,698

Given numbers are 684,927,816,698

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

The LCM of 684,927,816,698 is 1671966864.

Find LCM of 684,927,816,698 with Prime Factorization


2 684, 927, 816, 698
2 342, 927, 408, 349
3 171, 927, 204, 349
3 57, 309, 68, 349
19, 103, 68, 349

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

2 x 2 x 3 x 3 x 19 x 103 x 68 x 349 = 1671966864

Therefore, the lowest common multiple of 684,927,816,698 is 1671966864.

LCM Formula to Find Lowest Common Multiple of 684,927,816,698

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.

684 x 927 x 816 x 698 = 361144842624

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.

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

927 : 1, 3, 9, 103, 309, 927

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

698 : 1, 2, 349, 698

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 684,927,816,698, is 1.

Now, the common factors can be found like this.

684:2x 2x 3x 3x 19

927:3x 3x 103

816:2x 2x 2x 2x 3x 17

698:2x 349

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 3x 3x 3 = 216

Therefore, the value for common factors is 216.

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 = 361144842624/(1x216)

LCM = 361144842624/216

LCM = 1671966864

Thus, we can understand that the LCM of 684,927,816,698 is 1671966864.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 684, 927, 816, 698

1. What is the LCM of 684, 927, 816, 698?

Answer: LCM of 684, 927, 816, 698 is 1671966864.

2. How to calculate the LCM of 684, 927, 816, 698?

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 684, 927, 816, 698.

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}.