LCM of 697, 561, 924, 233
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 697, 561, 924, 233 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, 561, 924, 233. So, keep reading to learn more.
Given numbers are 697,561,924,233
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 697,561,924,233 is 150058524.
Find LCM of 697,561,924,233 with Prime Factorization
| 3 | 697, 561, 924, 233 |
| 11 | 697, 187, 308, 233 |
| 17 | 697, 17, 28, 233 |
| 41, 1, 28, 233 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 17 x 41 x 1 x 28 x 233 = 150058524
Therefore, the lowest common multiple of 697,561,924,233 is 150058524.
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 561 x 924 x 233 = 84182831964
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
561 : 1, 3, 11, 17, 33, 51, 187, 561
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
233 : 1, 233
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 697,561,924,233, is 1.
Now, the common factors can be found like this.
697:17x 41
561:3x 11x 17
924:2x 2x 3x 7x 11
233:233
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 11x 17 = 561
Therefore, the value for common factors is 561.
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 = 84182831964/(1x561)
LCM = 84182831964/561
LCM = 150058524
Thus, we can understand that the LCM of 697,561,924,233 is 150058524.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 697, 561, 924, 233
1. What is the LCM of 697, 561, 924, 233?
Answer: LCM of 697, 561, 924, 233 is 150058524.
2. How to calculate the LCM of 697, 561, 924, 233?
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, 561, 924, 233.
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}.