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LCM of 838, 603, 958, 867

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


Find the LCM of 838, 603, 958, 867 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, 603, 958, 867. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 838,603,958,867

Given numbers are 838,603,958,867

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

The LCM of 838,603,958,867 is 69951122334.

Find LCM of 838,603,958,867 with Prime Factorization


2 838, 603, 958, 867
3 419, 603, 479, 867
419, 201, 479, 289

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

2 x 3 x 419 x 201 x 479 x 289 = 69951122334

Therefore, the lowest common multiple of 838,603,958,867 is 69951122334.

LCM Formula to Find Lowest Common Multiple of 838,603,958,867

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 603 x 958 x 867 = 419706734004

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

603 : 1, 3, 9, 67, 201, 603

958 : 1, 2, 479, 958

867 : 1, 3, 17, 51, 289, 867

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 838,603,958,867, is 1.

Now, the common factors can be found like this.

838:2x 419

603:3x 3x 67

958:2x 479

867:3x 17x 17

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 419706734004/(1x6)

LCM = 419706734004/6

LCM = 69951122334

Thus, we can understand that the LCM of 838,603,958,867 is 69951122334.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 838, 603, 958, 867

1. What is the LCM of 838, 603, 958, 867?

Answer: LCM of 838, 603, 958, 867 is 69951122334.

2. How to calculate the LCM of 838, 603, 958, 867?

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, 603, 958, 867.

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}.