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LCM of 788, 548, 596, 702, 644

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


Find the LCM of 788, 548, 596, 702, 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 788, 548, 596, 702, 644. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 788,548,596,702,644

Given numbers are 788,548,596,702,644

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

The LCM of 788,548,596,702,644 is 909004525884.

Find LCM of 788,548,596,702,644 with Prime Factorization


2 788, 548, 596, 702, 644
2 394, 274, 298, 351, 322
197, 137, 149, 351, 161

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

2 x 2 x 197 x 137 x 149 x 351 x 161 = 909004525884

Therefore, the lowest common multiple of 788,548,596,702,644 is 909004525884.

LCM Formula to Find Lowest Common Multiple of 788,548,596,702,644

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.

788 x 548 x 596 x 702 x 644 = 116352579313152

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.

788 : 1, 2, 4, 197, 394, 788

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

596 : 1, 2, 4, 149, 298, 596

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

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 788,548,596,702,644, is 2.

Now, the common factors can be found like this.

788:2x 2x 197

548:2x 2x 137

596:2x 2x 149

702:2x 3x 3x 3x 13

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 2x 2 = 64

Therefore, the value for common factors is 64.

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 = 116352579313152/(2x64)

LCM = 116352579313152/128

LCM = 909004525884

Thus, we can understand that the LCM of 788,548,596,702,644 is 909004525884.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 788, 548, 596, 702, 644

1. What is the LCM of 788, 548, 596, 702, 644?

Answer: LCM of 788, 548, 596, 702, 644 is 909004525884.

2. How to calculate the LCM of 788, 548, 596, 702, 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 788, 548, 596, 702, 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}.