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LCM of 899, 774, 324, 688

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


Find the LCM of 899, 774, 324, 688 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 899, 774, 324, 688. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 899,774,324,688

Given numbers are 899,774,324,688

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

The LCM of 899,774,324,688 is 50099472.

Find LCM of 899,774,324,688 with Prime Factorization


2 899, 774, 324, 688
2 899, 387, 162, 344
3 899, 387, 81, 172
3 899, 129, 27, 172
43 899, 43, 9, 172
899, 1, 9, 4

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

2 x 2 x 3 x 3 x 43 x 899 x 1 x 9 x 4 = 50099472

Therefore, the lowest common multiple of 899,774,324,688 is 50099472.

LCM Formula to Find Lowest Common Multiple of 899,774,324,688

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.

899 x 774 x 324 x 688 = 155107965312

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.

899 : 1, 29, 31, 899

774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 899,774,324,688, is 1.

Now, the common factors can be found like this.

899:29x 31

774:2x 3x 3x 43

324:2x 2x 3x 3x 3x 3

688:2x 2x 2x 2x 43

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 43 = 3096

Therefore, the value for common factors is 3096.

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 = 155107965312/(1x3096)

LCM = 155107965312/3096

LCM = 50099472

Thus, we can understand that the LCM of 899,774,324,688 is 50099472.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 899, 774, 324, 688

1. What is the LCM of 899, 774, 324, 688?

Answer: LCM of 899, 774, 324, 688 is 50099472.

2. How to calculate the LCM of 899, 774, 324, 688?

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 899, 774, 324, 688.

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}.