LCM of 221, 781, 935, 971, 968
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 221, 781, 935, 971, 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 221, 781, 935, 971, 968. So, keep reading to learn more.
Given numbers are 221,781,935,971,968
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 221,781,935,971,968 is 73742051240.
Find LCM of 221,781,935,971,968 with Prime Factorization
| 11 | 221, 781, 935, 971, 968 |
| 17 | 221, 71, 85, 971, 88 |
| 13, 71, 5, 971, 88 |
Multiply the prime numbers at the bottom and the left side.
11 x 17 x 13 x 71 x 5 x 971 x 88 = 73742051240
Therefore, the lowest common multiple of 221,781,935,971,968 is 73742051240.
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.
221 x 781 x 935 x 971 x 968 = 151687399400680
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.
221 : 1, 13, 17, 221
781 : 1, 11, 71, 781
935 : 1, 5, 11, 17, 55, 85, 187, 935
971 : 1, 971
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 221,781,935,971,968, is 1.
Now, the common factors can be found like this.
221:13x 17
781:11x 71
935:5x 11x 17
971:971
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.
11x 11x 17 = 2057
Therefore, the value for common factors is 2057.
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 = 151687399400680/(1x2057)
LCM = 151687399400680/2057
LCM = 73742051240
Thus, we can understand that the LCM of 221,781,935,971,968 is 73742051240.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 221, 781, 935, 971, 968
1. What is the LCM of 221, 781, 935, 971, 968?
Answer: LCM of 221, 781, 935, 971, 968 is 73742051240.
2. How to calculate the LCM of 221, 781, 935, 971, 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 221, 781, 935, 971, 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}.