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LCM of 631, 706, 741, 969, 638

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


Find the LCM of 631, 706, 741, 969, 638 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 631, 706, 741, 969, 638. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 631,706,741,969,638

Given numbers are 631,706,741,969,638

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

The LCM of 631,706,741,969,638 is 1790160098298.

Find LCM of 631,706,741,969,638 with Prime Factorization


2 631, 706, 741, 969, 638
3 631, 353, 741, 969, 319
19 631, 353, 247, 323, 319
631, 353, 13, 17, 319

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

2 x 3 x 19 x 631 x 353 x 13 x 17 x 319 = 1790160098298

Therefore, the lowest common multiple of 631,706,741,969,638 is 1790160098298.

LCM Formula to Find Lowest Common Multiple of 631,706,741,969,638

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.

631 x 706 x 741 x 969 x 638 = 204078251205972

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.

631 : 1, 631

706 : 1, 2, 353, 706

741 : 1, 3, 13, 19, 39, 57, 247, 741

969 : 1, 3, 17, 19, 51, 57, 323, 969

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 631,706,741,969,638, is 1.

Now, the common factors can be found like this.

631:631

706:2x 353

741:3x 13x 19

969:3x 17x 19

638:2x 11x 29

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

2x 3x 19 = 114

Therefore, the value for common factors is 114.

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 = 204078251205972/(1x114)

LCM = 204078251205972/114

LCM = 1790160098298

Thus, we can understand that the LCM of 631,706,741,969,638 is 1790160098298.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 631, 706, 741, 969, 638

1. What is the LCM of 631, 706, 741, 969, 638?

Answer: LCM of 631, 706, 741, 969, 638 is 1790160098298.

2. How to calculate the LCM of 631, 706, 741, 969, 638?

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 631, 706, 741, 969, 638.

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}.