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LCM of 347, 351, 467, 467, 695

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


Find the LCM of 347, 351, 467, 467, 695 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 347, 351, 467, 467, 695. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 347,351,467,467,695

Given numbers are 347,351,467,467,695

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

The LCM of 347,351,467,467,695 is 39531043305.

Find LCM of 347,351,467,467,695 with Prime Factorization


467 347, 351, 467, 467, 695
347, 351, 1, 1, 695

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

467 x 347 x 351 x 1 x 1 x 695 = 39531043305

Therefore, the lowest common multiple of 347,351,467,467,695 is 39531043305.

LCM Formula to Find Lowest Common Multiple of 347,351,467,467,695

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.

347 x 351 x 467 x 467 x 695 = 18460997223435

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.

347 : 1, 347

351 : 1, 3, 9, 13, 27, 39, 117, 351

467 : 1, 467

467 : 1, 467

695 : 1, 5, 139, 695

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 347,351,467,467,695, is 1.

Now, the common factors can be found like this.

347:347

351:3x 3x 3x 13

467:467

467:467

695:5x 139

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

467 = 467

Therefore, the value for common factors is 467.

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 = 18460997223435/(1x467)

LCM = 18460997223435/467

LCM = 39531043305

Thus, we can understand that the LCM of 347,351,467,467,695 is 39531043305.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 347, 351, 467, 467, 695

1. What is the LCM of 347, 351, 467, 467, 695?

Answer: LCM of 347, 351, 467, 467, 695 is 39531043305.

2. How to calculate the LCM of 347, 351, 467, 467, 695?

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 347, 351, 467, 467, 695.

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}.