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LCM of 638, 949, 385, 337

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


Find the LCM of 638, 949, 385, 337 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 638, 949, 385, 337. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 638,949,385,337

Given numbers are 638,949,385,337

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

The LCM of 638,949,385,337 is 7141424290.

Find LCM of 638,949,385,337 with Prime Factorization


11 638, 949, 385, 337
58, 949, 35, 337

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

11 x 58 x 949 x 35 x 337 = 7141424290

Therefore, the lowest common multiple of 638,949,385,337 is 7141424290.

LCM Formula to Find Lowest Common Multiple of 638,949,385,337

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.

638 x 949 x 385 x 337 = 78555667190

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.

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

949 : 1, 13, 73, 949

385 : 1, 5, 7, 11, 35, 55, 77, 385

337 : 1, 337

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 638,949,385,337, is 1.

Now, the common factors can be found like this.

638:2x 11x 29

949:13x 73

385:5x 7x 11

337:337

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

11 = 11

Therefore, the value for common factors is 11.

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 = 78555667190/(1x11)

LCM = 78555667190/11

LCM = 7141424290

Thus, we can understand that the LCM of 638,949,385,337 is 7141424290.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 638, 949, 385, 337

1. What is the LCM of 638, 949, 385, 337?

Answer: LCM of 638, 949, 385, 337 is 7141424290.

2. How to calculate the LCM of 638, 949, 385, 337?

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 638, 949, 385, 337.

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}.