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LCM of 683, 637, 578, 361, 533

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


Find the LCM of 683, 637, 578, 361, 533 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 683, 637, 578, 361, 533. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 683,637,578,361,533

Given numbers are 683,637,578,361,533

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

The LCM of 683,637,578,361,533 is 3722022833438.

Find LCM of 683,637,578,361,533 with Prime Factorization


13 683, 637, 578, 361, 533
683, 49, 578, 361, 41

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

13 x 683 x 49 x 578 x 361 x 41 = 3722022833438

Therefore, the lowest common multiple of 683,637,578,361,533 is 3722022833438.

LCM Formula to Find Lowest Common Multiple of 683,637,578,361,533

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.

683 x 637 x 578 x 361 x 533 = 48386296834694

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.

683 : 1, 683

637 : 1, 7, 13, 49, 91, 637

578 : 1, 2, 17, 34, 289, 578

361 : 1, 19, 361

533 : 1, 13, 41, 533

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 683,637,578,361,533, is 1.

Now, the common factors can be found like this.

683:683

637:7x 7x 13

578:2x 17x 17

361:19x 19

533:13x 41

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

13 = 13

Therefore, the value for common factors is 13.

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 = 48386296834694/(1x13)

LCM = 48386296834694/13

LCM = 3722022833438

Thus, we can understand that the LCM of 683,637,578,361,533 is 3722022833438.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 683, 637, 578, 361, 533

1. What is the LCM of 683, 637, 578, 361, 533?

Answer: LCM of 683, 637, 578, 361, 533 is 3722022833438.

2. How to calculate the LCM of 683, 637, 578, 361, 533?

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 683, 637, 578, 361, 533.

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}.