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LCM of 966, 867, 599, 753

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


Find the LCM of 966, 867, 599, 753 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 966, 867, 599, 753. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 966,867,599,753

Given numbers are 966,867,599,753

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

The LCM of 966,867,599,753 is 41973531726.

Find LCM of 966,867,599,753 with Prime Factorization


3 966, 867, 599, 753
322, 289, 599, 251

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

3 x 322 x 289 x 599 x 251 = 41973531726

Therefore, the lowest common multiple of 966,867,599,753 is 41973531726.

LCM Formula to Find Lowest Common Multiple of 966,867,599,753

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.

966 x 867 x 599 x 753 = 377761785534

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.

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

867 : 1, 3, 17, 51, 289, 867

599 : 1, 599

753 : 1, 3, 251, 753

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 966,867,599,753, is 1.

Now, the common factors can be found like this.

966:2x 3x 7x 23

867:3x 17x 17

599:599

753:3x 251

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

3x 3 = 9

Therefore, the value for common factors is 9.

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 = 377761785534/(1x9)

LCM = 377761785534/9

LCM = 41973531726

Thus, we can understand that the LCM of 966,867,599,753 is 41973531726.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 966, 867, 599, 753

1. What is the LCM of 966, 867, 599, 753?

Answer: LCM of 966, 867, 599, 753 is 41973531726.

2. How to calculate the LCM of 966, 867, 599, 753?

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 966, 867, 599, 753.

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}.