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LCM of 373, 789, 385, 291, 108

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


Find the LCM of 373, 789, 385, 291, 108 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, 789, 385, 291, 108. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 373,789,385,291,108

Given numbers are 373,789,385,291,108

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

The LCM of 373,789,385,291,108 is 395658772740.

Find LCM of 373,789,385,291,108 with Prime Factorization


3 373, 789, 385, 291, 108
373, 263, 385, 97, 36

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

3 x 373 x 263 x 385 x 97 x 36 = 395658772740

Therefore, the lowest common multiple of 373,789,385,291,108 is 395658772740.

LCM Formula to Find Lowest Common Multiple of 373,789,385,291,108

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 789 x 385 x 291 x 108 = 3560928954660

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

789 : 1, 3, 263, 789

385 : 1, 5, 7, 11, 35, 55, 77, 385

291 : 1, 3, 97, 291

108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 373,789,385,291,108, is 1.

Now, the common factors can be found like this.

373:373

789:3x 263

385:5x 7x 11

291:3x 97

108:2x 2x 3x 3x 3

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 = 3560928954660/(1x9)

LCM = 3560928954660/9

LCM = 395658772740

Thus, we can understand that the LCM of 373,789,385,291,108 is 395658772740.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 373, 789, 385, 291, 108

1. What is the LCM of 373, 789, 385, 291, 108?

Answer: LCM of 373, 789, 385, 291, 108 is 395658772740.

2. How to calculate the LCM of 373, 789, 385, 291, 108?

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, 789, 385, 291, 108.

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}.