LCM of 697, 506, 322, 223, 968
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 697, 506, 322, 223, 968 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, 506, 322, 223, 968. So, keep reading to learn more.
Given numbers are 697,506,322,223,968
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 697,506,322,223,968 is 24223610488.
Find LCM of 697,506,322,223,968 with Prime Factorization
| 2 | 697, 506, 322, 223, 968 |
| 11 | 697, 253, 161, 223, 484 |
| 23 | 697, 23, 161, 223, 44 |
| 697, 1, 7, 223, 44 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 23 x 697 x 1 x 7 x 223 x 44 = 24223610488
Therefore, the lowest common multiple of 697,506,322,223,968 is 24223610488.
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 506 x 322 x 223 x 968 = 24514293813856
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
506 : 1, 2, 11, 22, 23, 46, 253, 506
322 : 1, 2, 7, 14, 23, 46, 161, 322
223 : 1, 223
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 697,506,322,223,968, is 1.
Now, the common factors can be found like this.
697:17x 41
506:2x 11x 23
322:2x 7x 23
223:223
968:2x 2x 2x 11x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 11x 23 = 1012
Therefore, the value for common factors is 1012.
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 = 24514293813856/(1x1012)
LCM = 24514293813856/1012
LCM = 24223610488
Thus, we can understand that the LCM of 697,506,322,223,968 is 24223610488.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 697, 506, 322, 223, 968
1. What is the LCM of 697, 506, 322, 223, 968?
Answer: LCM of 697, 506, 322, 223, 968 is 24223610488.
2. How to calculate the LCM of 697, 506, 322, 223, 968?
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, 506, 322, 223, 968.
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}.