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LCM of 183, 531, 904, 828, 976

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


Find the LCM of 183, 531, 904, 828, 976 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 183, 531, 904, 828, 976. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 183,531,904,828,976

Given numbers are 183,531,904,828,976

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

The LCM of 183,531,904,828,976 is 1346947344.

Find LCM of 183,531,904,828,976 with Prime Factorization


2 183, 531, 904, 828, 976
2 183, 531, 452, 414, 488
2 183, 531, 226, 207, 244
3 183, 531, 113, 207, 122
3 61, 177, 113, 69, 122
61 61, 59, 113, 23, 122
1, 59, 113, 23, 2

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

2 x 2 x 2 x 3 x 3 x 61 x 1 x 59 x 113 x 23 x 2 = 1346947344

Therefore, the lowest common multiple of 183,531,904,828,976 is 1346947344.

LCM Formula to Find Lowest Common Multiple of 183,531,904,828,976

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.

183 x 531 x 904 x 828 x 976 = 70989512818176

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.

183 : 1, 3, 61, 183

531 : 1, 3, 9, 59, 177, 531

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

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 183,531,904,828,976, is 1.

Now, the common factors can be found like this.

183:3x 61

531:3x 3x 59

904:2x 2x 2x 113

828:2x 2x 3x 3x 23

976:2x 2x 2x 2x 61

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 2x 2x 3x 3x 3x 61 = 52704

Therefore, the value for common factors is 52704.

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 = 70989512818176/(1x52704)

LCM = 70989512818176/52704

LCM = 1346947344

Thus, we can understand that the LCM of 183,531,904,828,976 is 1346947344.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 183, 531, 904, 828, 976

1. What is the LCM of 183, 531, 904, 828, 976?

Answer: LCM of 183, 531, 904, 828, 976 is 1346947344.

2. How to calculate the LCM of 183, 531, 904, 828, 976?

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 183, 531, 904, 828, 976.

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}.