LCM of 699, 804, 407, 562, 589
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 699, 804, 407, 562, 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 699, 804, 407, 562, 589. So, keep reading to learn more.
Given numbers are 699,804,407,562,589
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 699,804,407,562,589 is 12619088719116.
Find LCM of 699,804,407,562,589 with Prime Factorization
| 2 | 699, 804, 407, 562, 589 |
| 3 | 699, 402, 407, 281, 589 |
| 233, 134, 407, 281, 589 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 233 x 134 x 407 x 281 x 589 = 12619088719116
Therefore, the lowest common multiple of 699,804,407,562,589 is 12619088719116.
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.
699 x 804 x 407 x 562 x 589 = 75714532314696
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.
699 : 1, 3, 233, 699
804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
407 : 1, 11, 37, 407
562 : 1, 2, 281, 562
589 : 1, 19, 31, 589
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 699,804,407,562,589, is 1.
Now, the common factors can be found like this.
699:3x 233
804:2x 2x 3x 67
407:11x 37
562:2x 281
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.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 75714532314696/(1x6)
LCM = 75714532314696/6
LCM = 12619088719116
Thus, we can understand that the LCM of 699,804,407,562,589 is 12619088719116.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 699, 804, 407, 562, 589
1. What is the LCM of 699, 804, 407, 562, 589?
Answer: LCM of 699, 804, 407, 562, 589 is 12619088719116.
2. How to calculate the LCM of 699, 804, 407, 562, 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 699, 804, 407, 562, 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}.