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LCM of 884, 421, 421, 699, 375

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


Find the LCM of 884, 421, 421, 699, 375 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 884, 421, 421, 699, 375. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 884,421,421,699,375

Given numbers are 884,421,421,699,375

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

The LCM of 884,421,421,699,375 is 32517829500.

Find LCM of 884,421,421,699,375 with Prime Factorization


3 884, 421, 421, 699, 375
421 884, 421, 421, 233, 125
884, 1, 1, 233, 125

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

3 x 421 x 884 x 1 x 1 x 233 x 125 = 32517829500

Therefore, the lowest common multiple of 884,421,421,699,375 is 32517829500.

LCM Formula to Find Lowest Common Multiple of 884,421,421,699,375

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.

884 x 421 x 421 x 699 x 375 = 41070018658500

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.

884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

421 : 1, 421

421 : 1, 421

699 : 1, 3, 233, 699

375 : 1, 3, 5, 15, 25, 75, 125, 375

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 884,421,421,699,375, is 1.

Now, the common factors can be found like this.

884:2x 2x 13x 17

421:421

421:421

699:3x 233

375:3x 5x 5x 5

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

3x 421 = 1263

Therefore, the value for common factors is 1263.

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 = 41070018658500/(1x1263)

LCM = 41070018658500/1263

LCM = 32517829500

Thus, we can understand that the LCM of 884,421,421,699,375 is 32517829500.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 884, 421, 421, 699, 375

1. What is the LCM of 884, 421, 421, 699, 375?

Answer: LCM of 884, 421, 421, 699, 375 is 32517829500.

2. How to calculate the LCM of 884, 421, 421, 699, 375?

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 884, 421, 421, 699, 375.

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}.