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LCM of 876, 548, 828, 688

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


Find the LCM of 876, 548, 828, 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 876, 548, 828, 688. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 876,548,828,688

Given numbers are 876,548,828,688

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

The LCM of 876,548,828,688 is 1424302416.

Find LCM of 876,548,828,688 with Prime Factorization


2 876, 548, 828, 688
2 438, 274, 414, 344
3 219, 137, 207, 172
73, 137, 69, 172

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

2 x 2 x 3 x 73 x 137 x 69 x 172 = 1424302416

Therefore, the lowest common multiple of 876,548,828,688 is 1424302416.

LCM Formula to Find Lowest Common Multiple of 876,548,828,688

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.

876 x 548 x 828 x 688 = 273466063872

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.

876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

548 : 1, 2, 4, 137, 274, 548

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

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

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 876,548,828,688, is 4.

Now, the common factors can be found like this.

876:2x 2x 3x 73

548:2x 2x 137

828:2x 2x 3x 3x 23

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 2x 3 = 48

Therefore, the value for common factors is 48.

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 = 273466063872/(4x48)

LCM = 273466063872/192

LCM = 1424302416

Thus, we can understand that the LCM of 876,548,828,688 is 1424302416.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 876, 548, 828, 688

1. What is the LCM of 876, 548, 828, 688?

Answer: LCM of 876, 548, 828, 688 is 1424302416.

2. How to calculate the LCM of 876, 548, 828, 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 876, 548, 828, 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}.