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LCM of 671, 791, 333, 946

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


Find the LCM of 671, 791, 333, 946 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 671, 791, 333, 946. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 671,791,333,946

Given numbers are 671,791,333,946

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

The LCM of 671,791,333,946 is 15199933518.

Find LCM of 671,791,333,946 with Prime Factorization


11 671, 791, 333, 946
61, 791, 333, 86

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

11 x 61 x 791 x 333 x 86 = 15199933518

Therefore, the lowest common multiple of 671,791,333,946 is 15199933518.

LCM Formula to Find Lowest Common Multiple of 671,791,333,946

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.

671 x 791 x 333 x 946 = 167199268698

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.

671 : 1, 11, 61, 671

791 : 1, 7, 113, 791

333 : 1, 3, 9, 37, 111, 333

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 671,791,333,946, is 1.

Now, the common factors can be found like this.

671:11x 61

791:7x 113

333:3x 3x 37

946:2x 11x 43

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

11 = 11

Therefore, the value for common factors is 11.

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 = 167199268698/(1x11)

LCM = 167199268698/11

LCM = 15199933518

Thus, we can understand that the LCM of 671,791,333,946 is 15199933518.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 671, 791, 333, 946

1. What is the LCM of 671, 791, 333, 946?

Answer: LCM of 671, 791, 333, 946 is 15199933518.

2. How to calculate the LCM of 671, 791, 333, 946?

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 671, 791, 333, 946.

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}.