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LCM of 941, 785, 752, 320, 330

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


Find the LCM of 941, 785, 752, 320, 330 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, 785, 752, 320, 330. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 941,785,752,320,330

Given numbers are 941,785,752,320,330

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

The LCM of 941,785,752,320,330 is 73324827840.

Find LCM of 941,785,752,320,330 with Prime Factorization


2 941, 785, 752, 320, 330
2 941, 785, 376, 160, 165
2 941, 785, 188, 80, 165
2 941, 785, 94, 40, 165
5 941, 785, 47, 20, 165
941, 157, 47, 4, 33

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

2 x 2 x 2 x 2 x 5 x 941 x 157 x 47 x 4 x 33 = 73324827840

Therefore, the lowest common multiple of 941,785,752,320,330 is 73324827840.

LCM Formula to Find Lowest Common Multiple of 941,785,752,320,330

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 785 x 752 x 320 x 330 = 58659862272000

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

785 : 1, 5, 157, 785

752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752

320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 941,785,752,320,330, is 1.

Now, the common factors can be found like this.

941:941

785:5x 157

752:2x 2x 2x 2x 47

320:2x 2x 2x 2x 2x 2x 5

330:2x 3x 5x 11

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 2x 2x 5x 5 = 800

Therefore, the value for common factors is 800.

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 = 58659862272000/(1x800)

LCM = 58659862272000/800

LCM = 73324827840

Thus, we can understand that the LCM of 941,785,752,320,330 is 73324827840.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 941, 785, 752, 320, 330

1. What is the LCM of 941, 785, 752, 320, 330?

Answer: LCM of 941, 785, 752, 320, 330 is 73324827840.

2. How to calculate the LCM of 941, 785, 752, 320, 330?

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, 785, 752, 320, 330.

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}.