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LCM of 373, 494, 923, 985

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


Find the LCM of 373, 494, 923, 985 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 373, 494, 923, 985. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 373,494,923,985

Given numbers are 373,494,923,985

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

The LCM of 373,494,923,985 is 12886362970.

Find LCM of 373,494,923,985 with Prime Factorization


13 373, 494, 923, 985
373, 38, 71, 985

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

13 x 373 x 38 x 71 x 985 = 12886362970

Therefore, the lowest common multiple of 373,494,923,985 is 12886362970.

LCM Formula to Find Lowest Common Multiple of 373,494,923,985

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.

373 x 494 x 923 x 985 = 167522718610

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.

373 : 1, 373

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

923 : 1, 13, 71, 923

985 : 1, 5, 197, 985

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 373,494,923,985, is 1.

Now, the common factors can be found like this.

373:373

494:2x 13x 19

923:13x 71

985:5x 197

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

13 = 13

Therefore, the value for common factors is 13.

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 = 167522718610/(1x13)

LCM = 167522718610/13

LCM = 12886362970

Thus, we can understand that the LCM of 373,494,923,985 is 12886362970.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 373, 494, 923, 985

1. What is the LCM of 373, 494, 923, 985?

Answer: LCM of 373, 494, 923, 985 is 12886362970.

2. How to calculate the LCM of 373, 494, 923, 985?

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 373, 494, 923, 985.

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}.