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LCM of 424, 338, 636, 798, 703

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


Find the LCM of 424, 338, 636, 798, 703 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 424, 338, 636, 798, 703. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 424,338,636,798,703

Given numbers are 424,338,636,798,703

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

The LCM of 424,338,636,798,703 is 1057857528.

Find LCM of 424,338,636,798,703 with Prime Factorization


2 424, 338, 636, 798, 703
2 212, 169, 318, 399, 703
3 106, 169, 159, 399, 703
19 106, 169, 53, 133, 703
53 106, 169, 53, 7, 37
2, 169, 1, 7, 37

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

2 x 2 x 3 x 19 x 53 x 2 x 169 x 1 x 7 x 37 = 1057857528

Therefore, the lowest common multiple of 424,338,636,798,703 is 1057857528.

LCM Formula to Find Lowest Common Multiple of 424,338,636,798,703

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.

424 x 338 x 636 x 798 x 703 = 51132601473408

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.

424 : 1, 2, 4, 8, 53, 106, 212, 424

338 : 1, 2, 13, 26, 169, 338

636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

703 : 1, 19, 37, 703

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 424,338,636,798,703, is 1.

Now, the common factors can be found like this.

424:2x 2x 2x 53

338:2x 13x 13

636:2x 2x 3x 53

798:2x 3x 7x 19

703:19x 37

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 3x 19x 53 = 48336

Therefore, the value for common factors is 48336.

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 = 51132601473408/(1x48336)

LCM = 51132601473408/48336

LCM = 1057857528

Thus, we can understand that the LCM of 424,338,636,798,703 is 1057857528.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 424, 338, 636, 798, 703

1. What is the LCM of 424, 338, 636, 798, 703?

Answer: LCM of 424, 338, 636, 798, 703 is 1057857528.

2. How to calculate the LCM of 424, 338, 636, 798, 703?

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 424, 338, 636, 798, 703.

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}.