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LCM of 703, 771, 358, 419, 408

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


Find the LCM of 703, 771, 358, 419, 408 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 703, 771, 358, 419, 408. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 703,771,358,419,408

Given numbers are 703,771,358,419,408

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

The LCM of 703,771,358,419,408 is 5528606313768.

Find LCM of 703,771,358,419,408 with Prime Factorization


2 703, 771, 358, 419, 408
3 703, 771, 179, 419, 204
703, 257, 179, 419, 68

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

2 x 3 x 703 x 257 x 179 x 419 x 68 = 5528606313768

Therefore, the lowest common multiple of 703,771,358,419,408 is 5528606313768.

LCM Formula to Find Lowest Common Multiple of 703,771,358,419,408

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.

703 x 771 x 358 x 419 x 408 = 33171637882608

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.

703 : 1, 19, 37, 703

771 : 1, 3, 257, 771

358 : 1, 2, 179, 358

419 : 1, 419

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 703,771,358,419,408, is 1.

Now, the common factors can be found like this.

703:19x 37

771:3x 257

358:2x 179

419:419

408:2x 2x 2x 3x 17

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 33171637882608/(1x6)

LCM = 33171637882608/6

LCM = 5528606313768

Thus, we can understand that the LCM of 703,771,358,419,408 is 5528606313768.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 703, 771, 358, 419, 408

1. What is the LCM of 703, 771, 358, 419, 408?

Answer: LCM of 703, 771, 358, 419, 408 is 5528606313768.

2. How to calculate the LCM of 703, 771, 358, 419, 408?

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 703, 771, 358, 419, 408.

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}.