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LCM of 838, 763, 554, 796, 535

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


Find the LCM of 838, 763, 554, 796, 535 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 838, 763, 554, 796, 535. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 838,763,554,796,535

Given numbers are 838,763,554,796,535

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

The LCM of 838,763,554,796,535 is 37712487544340.

Find LCM of 838,763,554,796,535 with Prime Factorization


2 838, 763, 554, 796, 535
419, 763, 277, 398, 535

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

2 x 419 x 763 x 277 x 398 x 535 = 37712487544340

Therefore, the lowest common multiple of 838,763,554,796,535 is 37712487544340.

LCM Formula to Find Lowest Common Multiple of 838,763,554,796,535

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.

838 x 763 x 554 x 796 x 535 = 150849950177360

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.

838 : 1, 2, 419, 838

763 : 1, 7, 109, 763

554 : 1, 2, 277, 554

796 : 1, 2, 4, 199, 398, 796

535 : 1, 5, 107, 535

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 838,763,554,796,535, is 1.

Now, the common factors can be found like this.

838:2x 419

763:7x 109

554:2x 277

796:2x 2x 199

535:5x 107

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 150849950177360/(1x4)

LCM = 150849950177360/4

LCM = 37712487544340

Thus, we can understand that the LCM of 838,763,554,796,535 is 37712487544340.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 838, 763, 554, 796, 535

1. What is the LCM of 838, 763, 554, 796, 535?

Answer: LCM of 838, 763, 554, 796, 535 is 37712487544340.

2. How to calculate the LCM of 838, 763, 554, 796, 535?

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 838, 763, 554, 796, 535.

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}.