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LCM of 557, 437, 767, 475, 824

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


Find the LCM of 557, 437, 767, 475, 824 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 557, 437, 767, 475, 824. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 557,437,767,475,824

Given numbers are 557,437,767,475,824

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

The LCM of 557,437,767,475,824 is 3845910881800.

Find LCM of 557,437,767,475,824 with Prime Factorization


19 557, 437, 767, 475, 824
557, 23, 767, 25, 824

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

19 x 557 x 23 x 767 x 25 x 824 = 3845910881800

Therefore, the lowest common multiple of 557,437,767,475,824 is 3845910881800.

LCM Formula to Find Lowest Common Multiple of 557,437,767,475,824

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.

557 x 437 x 767 x 475 x 824 = 73072306754200

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.

557 : 1, 557

437 : 1, 19, 23, 437

767 : 1, 13, 59, 767

475 : 1, 5, 19, 25, 95, 475

824 : 1, 2, 4, 8, 103, 206, 412, 824

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 557,437,767,475,824, is 1.

Now, the common factors can be found like this.

557:557

437:19x 23

767:13x 59

475:5x 5x 19

824:2x 2x 2x 103

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 = 73072306754200/(1x19)

LCM = 73072306754200/19

LCM = 3845910881800

Thus, we can understand that the LCM of 557,437,767,475,824 is 3845910881800.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 557, 437, 767, 475, 824

1. What is the LCM of 557, 437, 767, 475, 824?

Answer: LCM of 557, 437, 767, 475, 824 is 3845910881800.

2. How to calculate the LCM of 557, 437, 767, 475, 824?

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 557, 437, 767, 475, 824.

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}.