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LCM of 701, 946, 814, 444, 941

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


Find the LCM of 701, 946, 814, 444, 941 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 701, 946, 814, 444, 941. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 701,946,814,444,941

Given numbers are 701,946,814,444,941

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

The LCM of 701,946,814,444,941 is 138532525692.

Find LCM of 701,946,814,444,941 with Prime Factorization


2 701, 946, 814, 444, 941
11 701, 473, 407, 222, 941
37 701, 43, 37, 222, 941
701, 43, 1, 6, 941

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

2 x 11 x 37 x 701 x 43 x 1 x 6 x 941 = 138532525692

Therefore, the lowest common multiple of 701,946,814,444,941 is 138532525692.

LCM Formula to Find Lowest Common Multiple of 701,946,814,444,941

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.

701 x 946 x 814 x 444 x 941 = 225530951826576

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.

701 : 1, 701

946 : 1, 2, 11, 22, 43, 86, 473, 946

814 : 1, 2, 11, 22, 37, 74, 407, 814

444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

941 : 1, 941

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 701,946,814,444,941, is 1.

Now, the common factors can be found like this.

701:701

946:2x 11x 43

814:2x 11x 37

444:2x 2x 3x 37

941:941

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 11x 37 = 1628

Therefore, the value for common factors is 1628.

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 = 225530951826576/(1x1628)

LCM = 225530951826576/1628

LCM = 138532525692

Thus, we can understand that the LCM of 701,946,814,444,941 is 138532525692.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 701, 946, 814, 444, 941

1. What is the LCM of 701, 946, 814, 444, 941?

Answer: LCM of 701, 946, 814, 444, 941 is 138532525692.

2. How to calculate the LCM of 701, 946, 814, 444, 941?

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 701, 946, 814, 444, 941.

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}.