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LCM of 935, 816, 660, 501

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


Find the LCM of 935, 816, 660, 501 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 935, 816, 660, 501. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 935,816,660,501

Given numbers are 935,816,660,501

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

The LCM of 935,816,660,501 is 7494960.

Find LCM of 935,816,660,501 with Prime Factorization


2 935, 816, 660, 501
2 935, 408, 330, 501
3 935, 204, 165, 501
5 935, 68, 55, 167
11 187, 68, 11, 167
17 17, 68, 1, 167
1, 4, 1, 167

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

2 x 2 x 3 x 5 x 11 x 17 x 1 x 4 x 1 x 167 = 7494960

Therefore, the lowest common multiple of 935,816,660,501 is 7494960.

LCM Formula to Find Lowest Common Multiple of 935,816,660,501

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.

935 x 816 x 660 x 501 = 252280353600

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.

935 : 1, 5, 11, 17, 55, 85, 187, 935

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

501 : 1, 3, 167, 501

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 935,816,660,501, is 1.

Now, the common factors can be found like this.

935:5x 11x 17

816:2x 2x 2x 2x 3x 17

660:2x 2x 3x 5x 11

501:3x 167

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 3x 3x 5x 11x 17 = 33660

Therefore, the value for common factors is 33660.

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 = 252280353600/(1x33660)

LCM = 252280353600/33660

LCM = 7494960

Thus, we can understand that the LCM of 935,816,660,501 is 7494960.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 935, 816, 660, 501

1. What is the LCM of 935, 816, 660, 501?

Answer: LCM of 935, 816, 660, 501 is 7494960.

2. How to calculate the LCM of 935, 816, 660, 501?

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 935, 816, 660, 501.

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}.