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LCM of 838, 690, 900, 363

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


Find the LCM of 838, 690, 900, 363 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, 690, 900, 363. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 838,690,900,363

Given numbers are 838,690,900,363

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

The LCM of 838,690,900,363 is 1049469300.

Find LCM of 838,690,900,363 with Prime Factorization


2 838, 690, 900, 363
3 419, 345, 450, 363
5 419, 115, 150, 121
419, 23, 30, 121

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

2 x 3 x 5 x 419 x 23 x 30 x 121 = 1049469300

Therefore, the lowest common multiple of 838,690,900,363 is 1049469300.

LCM Formula to Find Lowest Common Multiple of 838,690,900,363

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 690 x 900 x 363 = 188904474000

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

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

363 : 1, 3, 11, 33, 121, 363

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 838,690,900,363, is 1.

Now, the common factors can be found like this.

838:2x 419

690:2x 3x 5x 23

900:2x 2x 3x 3x 5x 5

363:3x 11x 11

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

2x 2x 3x 3x 5 = 180

Therefore, the value for common factors is 180.

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 = 188904474000/(1x180)

LCM = 188904474000/180

LCM = 1049469300

Thus, we can understand that the LCM of 838,690,900,363 is 1049469300.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 838, 690, 900, 363

1. What is the LCM of 838, 690, 900, 363?

Answer: LCM of 838, 690, 900, 363 is 1049469300.

2. How to calculate the LCM of 838, 690, 900, 363?

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, 690, 900, 363.

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}.