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LCM of 347, 961, 606, 747

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


Find the LCM of 347, 961, 606, 747 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, 961, 606, 747. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 347,961,606,747

Given numbers are 347,961,606,747

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

The LCM of 347,961,606,747 is 50318169498.

Find LCM of 347,961,606,747 with Prime Factorization


3 347, 961, 606, 747
347, 961, 202, 249

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

3 x 347 x 961 x 202 x 249 = 50318169498

Therefore, the lowest common multiple of 347,961,606,747 is 50318169498.

LCM Formula to Find Lowest Common Multiple of 347,961,606,747

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 961 x 606 x 747 = 150954508494

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

961 : 1, 31, 961

606 : 1, 2, 3, 6, 101, 202, 303, 606

747 : 1, 3, 9, 83, 249, 747

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 347,961,606,747, is 1.

Now, the common factors can be found like this.

347:347

961:31x 31

606:2x 3x 101

747:3x 3x 83

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

3 = 3

Therefore, the value for common factors is 3.

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 = 150954508494/(1x3)

LCM = 150954508494/3

LCM = 50318169498

Thus, we can understand that the LCM of 347,961,606,747 is 50318169498.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 347, 961, 606, 747

1. What is the LCM of 347, 961, 606, 747?

Answer: LCM of 347, 961, 606, 747 is 50318169498.

2. How to calculate the LCM of 347, 961, 606, 747?

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, 961, 606, 747.

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}.