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LCM of 345, 303, 669, 543

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


Find the LCM of 345, 303, 669, 543 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 345, 303, 669, 543. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 345,303,669,543

Given numbers are 345,303,669,543

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

The LCM of 345,303,669,543 is 1406448735.

Find LCM of 345,303,669,543 with Prime Factorization


3 345, 303, 669, 543
115, 101, 223, 181

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

3 x 115 x 101 x 223 x 181 = 1406448735

Therefore, the lowest common multiple of 345,303,669,543 is 1406448735.

LCM Formula to Find Lowest Common Multiple of 345,303,669,543

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.

345 x 303 x 669 x 543 = 37974115845

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.

345 : 1, 3, 5, 15, 23, 69, 115, 345

303 : 1, 3, 101, 303

669 : 1, 3, 223, 669

543 : 1, 3, 181, 543

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 345,303,669,543, is 3.

Now, the common factors can be found like this.

345:3x 5x 23

303:3x 101

669:3x 223

543:3x 181

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 = 37974115845/(3x9)

LCM = 37974115845/27

LCM = 1406448735

Thus, we can understand that the LCM of 345,303,669,543 is 1406448735.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 345, 303, 669, 543

1. What is the LCM of 345, 303, 669, 543?

Answer: LCM of 345, 303, 669, 543 is 1406448735.

2. How to calculate the LCM of 345, 303, 669, 543?

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 345, 303, 669, 543.

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}.