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LCM of 688, 828, 878, 644

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


Find the LCM of 688, 828, 878, 644 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 688, 828, 878, 644. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 688,828,878,644

Given numbers are 688,828,878,644

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

The LCM of 688,828,878,644 is 437644368.

Find LCM of 688,828,878,644 with Prime Factorization


2 688, 828, 878, 644
2 344, 414, 439, 322
23 172, 207, 439, 161
172, 9, 439, 7

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

2 x 2 x 23 x 172 x 9 x 439 x 7 = 437644368

Therefore, the lowest common multiple of 688,828,878,644 is 437644368.

LCM Formula to Find Lowest Common Multiple of 688,828,878,644

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.

688 x 828 x 878 x 644 = 322106254848

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.

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

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

878 : 1, 2, 439, 878

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 688,828,878,644, is 2.

Now, the common factors can be found like this.

688:2x 2x 2x 2x 43

828:2x 2x 3x 3x 23

878:2x 439

644:2x 2x 7x 23

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 23 = 368

Therefore, the value for common factors is 368.

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 = 322106254848/(2x368)

LCM = 322106254848/736

LCM = 437644368

Thus, we can understand that the LCM of 688,828,878,644 is 437644368.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 688, 828, 878, 644

1. What is the LCM of 688, 828, 878, 644?

Answer: LCM of 688, 828, 878, 644 is 437644368.

2. How to calculate the LCM of 688, 828, 878, 644?

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 688, 828, 878, 644.

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}.