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LCM of 387, 856, 635, 926, 824

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


Find the LCM of 387, 856, 635, 926, 824 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 387, 856, 635, 926, 824. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 387,856,635,926,824

Given numbers are 387,856,635,926,824

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

The LCM of 387,856,635,926,824 is 10031749309080.

Find LCM of 387,856,635,926,824 with Prime Factorization


2 387, 856, 635, 926, 824
2 387, 428, 635, 463, 412
2 387, 214, 635, 463, 206
387, 107, 635, 463, 103

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

2 x 2 x 2 x 387 x 107 x 635 x 463 x 103 = 10031749309080

Therefore, the lowest common multiple of 387,856,635,926,824 is 10031749309080.

LCM Formula to Find Lowest Common Multiple of 387,856,635,926,824

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.

387 x 856 x 635 x 926 x 824 = 160507988945280

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.

387 : 1, 3, 9, 43, 129, 387

856 : 1, 2, 4, 8, 107, 214, 428, 856

635 : 1, 5, 127, 635

926 : 1, 2, 463, 926

824 : 1, 2, 4, 8, 103, 206, 412, 824

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 387,856,635,926,824, is 1.

Now, the common factors can be found like this.

387:3x 3x 43

856:2x 2x 2x 107

635:5x 127

926:2x 463

824:2x 2x 2x 103

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 2 = 16

Therefore, the value for common factors is 16.

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 = 160507988945280/(1x16)

LCM = 160507988945280/16

LCM = 10031749309080

Thus, we can understand that the LCM of 387,856,635,926,824 is 10031749309080.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 387, 856, 635, 926, 824

1. What is the LCM of 387, 856, 635, 926, 824?

Answer: LCM of 387, 856, 635, 926, 824 is 10031749309080.

2. How to calculate the LCM of 387, 856, 635, 926, 824?

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 387, 856, 635, 926, 824.

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}.