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LCM of 788, 703, 481, 552

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


Find the LCM of 788, 703, 481, 552 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, 703, 481, 552. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 788,703,481,552

Given numbers are 788,703,481,552

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

The LCM of 788,703,481,552 is 993811416.

Find LCM of 788,703,481,552 with Prime Factorization


2 788, 703, 481, 552
2 394, 703, 481, 276
37 197, 703, 481, 138
197, 19, 13, 138

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

2 x 2 x 37 x 197 x 19 x 13 x 138 = 993811416

Therefore, the lowest common multiple of 788,703,481,552 is 993811416.

LCM Formula to Find Lowest Common Multiple of 788,703,481,552

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 703 x 481 x 552 = 147084089568

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

703 : 1, 19, 37, 703

481 : 1, 13, 37, 481

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 788,703,481,552, is 1.

Now, the common factors can be found like this.

788:2x 2x 197

703:19x 37

481:13x 37

552:2x 2x 2x 3x 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 37 = 148

Therefore, the value for common factors is 148.

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 = 147084089568/(1x148)

LCM = 147084089568/148

LCM = 993811416

Thus, we can understand that the LCM of 788,703,481,552 is 993811416.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 788, 703, 481, 552

1. What is the LCM of 788, 703, 481, 552?

Answer: LCM of 788, 703, 481, 552 is 993811416.

2. How to calculate the LCM of 788, 703, 481, 552?

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, 703, 481, 552.

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}.