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LCM of 234, 699, 109, 959, 904

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


Find the LCM of 234, 699, 109, 959, 904 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 234, 699, 109, 959, 904. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 234,699,109,959,904

Given numbers are 234,699,109,959,904

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

The LCM of 234,699,109,959,904 is 2576056110264.

Find LCM of 234,699,109,959,904 with Prime Factorization


2 234, 699, 109, 959, 904
3 117, 699, 109, 959, 452
39, 233, 109, 959, 452

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

2 x 3 x 39 x 233 x 109 x 959 x 452 = 2576056110264

Therefore, the lowest common multiple of 234,699,109,959,904 is 2576056110264.

LCM Formula to Find Lowest Common Multiple of 234,699,109,959,904

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.

234 x 699 x 109 x 959 x 904 = 15456336661584

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.

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

699 : 1, 3, 233, 699

109 : 1, 109

959 : 1, 7, 137, 959

904 : 1, 2, 4, 8, 113, 226, 452, 904

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 234,699,109,959,904, is 1.

Now, the common factors can be found like this.

234:2x 3x 3x 13

699:3x 233

109:109

959:7x 137

904:2x 2x 2x 113

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 = 15456336661584/(1x6)

LCM = 15456336661584/6

LCM = 2576056110264

Thus, we can understand that the LCM of 234,699,109,959,904 is 2576056110264.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 234, 699, 109, 959, 904

1. What is the LCM of 234, 699, 109, 959, 904?

Answer: LCM of 234, 699, 109, 959, 904 is 2576056110264.

2. How to calculate the LCM of 234, 699, 109, 959, 904?

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 234, 699, 109, 959, 904.

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}.