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LCM of 942, 388, 494, 661

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


Find the LCM of 942, 388, 494, 661 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 942, 388, 494, 661. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 942,388,494,661

Given numbers are 942,388,494,661

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

The LCM of 942,388,494,661 is 29836717716.

Find LCM of 942,388,494,661 with Prime Factorization


2 942, 388, 494, 661
471, 194, 247, 661

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

2 x 471 x 194 x 247 x 661 = 29836717716

Therefore, the lowest common multiple of 942,388,494,661 is 29836717716.

LCM Formula to Find Lowest Common Multiple of 942,388,494,661

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.

942 x 388 x 494 x 661 = 119346870864

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.

942 : 1, 2, 3, 6, 157, 314, 471, 942

388 : 1, 2, 4, 97, 194, 388

494 : 1, 2, 13, 19, 26, 38, 247, 494

661 : 1, 661

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 942,388,494,661, is 1.

Now, the common factors can be found like this.

942:2x 3x 157

388:2x 2x 97

494:2x 13x 19

661:661

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 119346870864/(1x4)

LCM = 119346870864/4

LCM = 29836717716

Thus, we can understand that the LCM of 942,388,494,661 is 29836717716.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 942, 388, 494, 661

1. What is the LCM of 942, 388, 494, 661?

Answer: LCM of 942, 388, 494, 661 is 29836717716.

2. How to calculate the LCM of 942, 388, 494, 661?

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 942, 388, 494, 661.

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}.