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LCM of 909, 638, 703, 703

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


Find the LCM of 909, 638, 703, 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 909, 638, 703, 703. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 909,638,703,703

Given numbers are 909,638,703,703

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

The LCM of 909,638,703,703 is 407699226.

Find LCM of 909,638,703,703 with Prime Factorization


19 909, 638, 703, 703
37 909, 638, 37, 37
909, 638, 1, 1

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

19 x 37 x 909 x 638 x 1 x 1 = 407699226

Therefore, the lowest common multiple of 909,638,703,703 is 407699226.

LCM Formula to Find Lowest Common Multiple of 909,638,703,703

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.

909 x 638 x 703 x 703 = 286612555878

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.

909 : 1, 3, 9, 101, 303, 909

638 : 1, 2, 11, 22, 29, 58, 319, 638

703 : 1, 19, 37, 703

703 : 1, 19, 37, 703

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 909,638,703,703, is 1.

Now, the common factors can be found like this.

909:3x 3x 101

638:2x 11x 29

703:19x 37

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.

19x 37 = 703

Therefore, the value for common factors is 703.

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 = 286612555878/(1x703)

LCM = 286612555878/703

LCM = 407699226

Thus, we can understand that the LCM of 909,638,703,703 is 407699226.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 909, 638, 703, 703

1. What is the LCM of 909, 638, 703, 703?

Answer: LCM of 909, 638, 703, 703 is 407699226.

2. How to calculate the LCM of 909, 638, 703, 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 909, 638, 703, 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}.