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LCM of 421, 960, 348, 560, 845

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


Find the LCM of 421, 960, 348, 560, 845 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 421, 960, 348, 560, 845. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 421,960,348,560,845

Given numbers are 421,960,348,560,845

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

The LCM of 421,960,348,560,845 is 13865517120.

Find LCM of 421,960,348,560,845 with Prime Factorization


2 421, 960, 348, 560, 845
2 421, 480, 174, 280, 845
2 421, 240, 87, 140, 845
2 421, 120, 87, 70, 845
3 421, 60, 87, 35, 845
5 421, 20, 29, 35, 845
421, 4, 29, 7, 169

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

2 x 2 x 2 x 2 x 3 x 5 x 421 x 4 x 29 x 7 x 169 = 13865517120

Therefore, the lowest common multiple of 421,960,348,560,845 is 13865517120.

LCM Formula to Find Lowest Common Multiple of 421,960,348,560,845

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.

421 x 960 x 348 x 560 x 845 = 66554482176000

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.

421 : 1, 421

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

845 : 1, 5, 13, 65, 169, 845

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 421,960,348,560,845, is 1.

Now, the common factors can be found like this.

421:421

960:2x 2x 2x 2x 2x 2x 3x 5

348:2x 2x 3x 29

560:2x 2x 2x 2x 5x 7

845:5x 13x 13

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 2x 2x 2x 2x 3x 5x 5 = 4800

Therefore, the value for common factors is 4800.

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 = 66554482176000/(1x4800)

LCM = 66554482176000/4800

LCM = 13865517120

Thus, we can understand that the LCM of 421,960,348,560,845 is 13865517120.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 421, 960, 348, 560, 845

1. What is the LCM of 421, 960, 348, 560, 845?

Answer: LCM of 421, 960, 348, 560, 845 is 13865517120.

2. How to calculate the LCM of 421, 960, 348, 560, 845?

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 421, 960, 348, 560, 845.

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}.