LCM of 697, 953, 742, 850, 307
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 697, 953, 742, 850, 307 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, 953, 742, 850, 307. So, keep reading to learn more.
Given numbers are 697,953,742,850,307
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 697,953,742,850,307 is 3782752858850.
Find LCM of 697,953,742,850,307 with Prime Factorization
| 2 | 697, 953, 742, 850, 307 |
| 17 | 697, 953, 371, 425, 307 |
| 41, 953, 371, 25, 307 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 41 x 953 x 371 x 25 x 307 = 3782752858850
Therefore, the lowest common multiple of 697,953,742,850,307 is 3782752858850.
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 953 x 742 x 850 x 307 = 128613597200900
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
953 : 1, 953
742 : 1, 2, 7, 14, 53, 106, 371, 742
850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
307 : 1, 307
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 697,953,742,850,307, is 1.
Now, the common factors can be found like this.
697:17x 41
953:953
742:2x 7x 53
850:2x 5x 5x 17
307:307
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 17 = 34
Therefore, the value for common factors is 34.
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 = 128613597200900/(1x34)
LCM = 128613597200900/34
LCM = 3782752858850
Thus, we can understand that the LCM of 697,953,742,850,307 is 3782752858850.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 697, 953, 742, 850, 307
1. What is the LCM of 697, 953, 742, 850, 307?
Answer: LCM of 697, 953, 742, 850, 307 is 3782752858850.
2. How to calculate the LCM of 697, 953, 742, 850, 307?
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, 953, 742, 850, 307.
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}.