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LCM of 369, 615, 755, 838

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


Find the LCM of 369, 615, 755, 838 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 369, 615, 755, 838. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 369,615,755,838

Given numbers are 369,615,755,838

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

The LCM of 369,615,755,838 is 233462610.

Find LCM of 369,615,755,838 with Prime Factorization


3 369, 615, 755, 838
5 123, 205, 755, 838
41 123, 41, 151, 838
3, 1, 151, 838

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

3 x 5 x 41 x 3 x 1 x 151 x 838 = 233462610

Therefore, the lowest common multiple of 369,615,755,838 is 233462610.

LCM Formula to Find Lowest Common Multiple of 369,615,755,838

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.

369 x 615 x 755 x 838 = 143579505150

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.

369 : 1, 3, 9, 41, 123, 369

615 : 1, 3, 5, 15, 41, 123, 205, 615

755 : 1, 5, 151, 755

838 : 1, 2, 419, 838

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 369,615,755,838, is 1.

Now, the common factors can be found like this.

369:3x 3x 41

615:3x 5x 41

755:5x 151

838:2x 419

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

3x 5x 41 = 615

Therefore, the value for common factors is 615.

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 = 143579505150/(1x615)

LCM = 143579505150/615

LCM = 233462610

Thus, we can understand that the LCM of 369,615,755,838 is 233462610.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 369, 615, 755, 838

1. What is the LCM of 369, 615, 755, 838?

Answer: LCM of 369, 615, 755, 838 is 233462610.

2. How to calculate the LCM of 369, 615, 755, 838?

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 369, 615, 755, 838.

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}.