LCM of 697, 533, 520, 313, 589
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 697, 533, 520, 313, 589 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 697, 533, 520, 313, 589. So, keep reading to learn more.
Given numbers are 697,533,520,313,589
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 697,533,520,313,589 is 66818351080.
Find LCM of 697,533,520,313,589 with Prime Factorization
| 13 | 697, 533, 520, 313, 589 |
| 41 | 697, 41, 40, 313, 589 |
| 17, 1, 40, 313, 589 |
Multiply the prime numbers at the bottom and the left side.
13 x 41 x 17 x 1 x 40 x 313 x 589 = 66818351080
Therefore, the lowest common multiple of 697,533,520,313,589 is 66818351080.
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.
697 x 533 x 520 x 313 x 589 = 35614181125640
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.
697 : 1, 17, 41, 697
533 : 1, 13, 41, 533
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
313 : 1, 313
589 : 1, 19, 31, 589
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 697,533,520,313,589, is 1.
Now, the common factors can be found like this.
697:17x 41
533:13x 41
520:2x 2x 2x 5x 13
313:313
589:19x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 41 = 533
Therefore, the value for common factors is 533.
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 = 35614181125640/(1x533)
LCM = 35614181125640/533
LCM = 66818351080
Thus, we can understand that the LCM of 697,533,520,313,589 is 66818351080.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 697, 533, 520, 313, 589
1. What is the LCM of 697, 533, 520, 313, 589?
Answer: LCM of 697, 533, 520, 313, 589 is 66818351080.
2. How to calculate the LCM of 697, 533, 520, 313, 589?
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 697, 533, 520, 313, 589.
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}.