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LCM of 345, 441, 378, 759

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


Find the LCM of 345, 441, 378, 759 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, 441, 378, 759. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 345,441,378,759

Given numbers are 345,441,378,759

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

The LCM of 345,441,378,759 is 3347190.

Find LCM of 345,441,378,759 with Prime Factorization


3 345, 441, 378, 759
3 115, 147, 126, 253
7 115, 49, 42, 253
23 115, 7, 6, 253
5, 7, 6, 11

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

3 x 3 x 7 x 23 x 5 x 7 x 6 x 11 = 3347190

Therefore, the lowest common multiple of 345,441,378,759 is 3347190.

LCM Formula to Find Lowest Common Multiple of 345,441,378,759

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 441 x 378 x 759 = 43650704790

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

441 : 1, 3, 7, 9, 21, 49, 63, 147, 441

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

759 : 1, 3, 11, 23, 33, 69, 253, 759

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 345,441,378,759, is 3.

Now, the common factors can be found like this.

345:3x 5x 23

441:3x 3x 7x 7

378:2x 3x 3x 3x 7

759:3x 11x 23

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

3x 3x 3x 7x 23 = 4347

Therefore, the value for common factors is 4347.

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 = 43650704790/(3x4347)

LCM = 43650704790/13041

LCM = 3347190

Thus, we can understand that the LCM of 345,441,378,759 is 3347190.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 345, 441, 378, 759

1. What is the LCM of 345, 441, 378, 759?

Answer: LCM of 345, 441, 378, 759 is 3347190.

2. How to calculate the LCM of 345, 441, 378, 759?

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, 441, 378, 759.

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}.