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LCM of 941, 312, 682, 760, 443

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


Find the LCM of 941, 312, 682, 760, 443 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 941, 312, 682, 760, 443. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 941,312,682,760,443

Given numbers are 941,312,682,760,443

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

The LCM of 941,312,682,760,443 is 4213334388120.

Find LCM of 941,312,682,760,443 with Prime Factorization


2 941, 312, 682, 760, 443
2 941, 156, 341, 380, 443
2 941, 78, 341, 190, 443
941, 39, 341, 95, 443

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

2 x 2 x 2 x 941 x 39 x 341 x 95 x 443 = 4213334388120

Therefore, the lowest common multiple of 941,312,682,760,443 is 4213334388120.

LCM Formula to Find Lowest Common Multiple of 941,312,682,760,443

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.

941 x 312 x 682 x 760 x 443 = 67413350209920

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.

941 : 1, 941

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

682 : 1, 2, 11, 22, 31, 62, 341, 682

760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

443 : 1, 443

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 941,312,682,760,443, is 1.

Now, the common factors can be found like this.

941:941

312:2x 2x 2x 3x 13

682:2x 11x 31

760:2x 2x 2x 5x 19

443:443

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 = 67413350209920/(1x16)

LCM = 67413350209920/16

LCM = 4213334388120

Thus, we can understand that the LCM of 941,312,682,760,443 is 4213334388120.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 941, 312, 682, 760, 443

1. What is the LCM of 941, 312, 682, 760, 443?

Answer: LCM of 941, 312, 682, 760, 443 is 4213334388120.

2. How to calculate the LCM of 941, 312, 682, 760, 443?

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 941, 312, 682, 760, 443.

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}.