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LCM of 381, 975, 532, 646, 849

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


Find the LCM of 381, 975, 532, 646, 849 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 381, 975, 532, 646, 849. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 381,975,532,646,849

Given numbers are 381,975,532,646,849

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

The LCM of 381,975,532,646,849 is 316924143900.

Find LCM of 381,975,532,646,849 with Prime Factorization


2 381, 975, 532, 646, 849
3 381, 975, 266, 323, 849
19 127, 325, 266, 323, 283
127, 325, 14, 17, 283

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

2 x 3 x 19 x 127 x 325 x 14 x 17 x 283 = 316924143900

Therefore, the lowest common multiple of 381,975,532,646,849 is 316924143900.

LCM Formula to Find Lowest Common Multiple of 381,975,532,646,849

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.

381 x 975 x 532 x 646 x 849 = 108388057213800

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.

381 : 1, 3, 127, 381

975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

646 : 1, 2, 17, 19, 34, 38, 323, 646

849 : 1, 3, 283, 849

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 381,975,532,646,849, is 1.

Now, the common factors can be found like this.

381:3x 127

975:3x 5x 5x 13

532:2x 2x 7x 19

646:2x 17x 19

849:3x 283

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

2x 3x 3x 19 = 342

Therefore, the value for common factors is 342.

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 = 108388057213800/(1x342)

LCM = 108388057213800/342

LCM = 316924143900

Thus, we can understand that the LCM of 381,975,532,646,849 is 316924143900.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 381, 975, 532, 646, 849

1. What is the LCM of 381, 975, 532, 646, 849?

Answer: LCM of 381, 975, 532, 646, 849 is 316924143900.

2. How to calculate the LCM of 381, 975, 532, 646, 849?

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 381, 975, 532, 646, 849.

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}.