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LCM of 361, 739, 817, 557

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


Find the LCM of 361, 739, 817, 557 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 361, 739, 817, 557. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 361,739,817,557

Given numbers are 361,739,817,557

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

The LCM of 361,739,817,557 is 6389623829.

Find LCM of 361,739,817,557 with Prime Factorization


19 361, 739, 817, 557
19, 739, 43, 557

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

19 x 19 x 739 x 43 x 557 = 6389623829

Therefore, the lowest common multiple of 361,739,817,557 is 6389623829.

LCM Formula to Find Lowest Common Multiple of 361,739,817,557

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.

361 x 739 x 817 x 557 = 121402852751

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.

361 : 1, 19, 361

739 : 1, 739

817 : 1, 19, 43, 817

557 : 1, 557

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 361,739,817,557, is 1.

Now, the common factors can be found like this.

361:19x 19

739:739

817:19x 43

557:557

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

19 = 19

Therefore, the value for common factors is 19.

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 = 121402852751/(1x19)

LCM = 121402852751/19

LCM = 6389623829

Thus, we can understand that the LCM of 361,739,817,557 is 6389623829.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 361, 739, 817, 557

1. What is the LCM of 361, 739, 817, 557?

Answer: LCM of 361, 739, 817, 557 is 6389623829.

2. How to calculate the LCM of 361, 739, 817, 557?

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 361, 739, 817, 557.

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}.