LCM of 268, 174, 100, 921, 968
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 268, 174, 100, 921, 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 268, 174, 100, 921, 968. So, keep reading to learn more.
Given numbers are 268,174,100,921,968
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 268,174,100,921,968 is 43305972600.
Find LCM of 268,174,100,921,968 with Prime Factorization
| 2 | 268, 174, 100, 921, 968 |
| 2 | 134, 87, 50, 921, 484 |
| 3 | 67, 87, 25, 921, 242 |
| 67, 29, 25, 307, 242 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 67 x 29 x 25 x 307 x 242 = 43305972600
Therefore, the lowest common multiple of 268,174,100,921,968 is 43305972600.
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.
268 x 174 x 100 x 921 x 968 = 4157373369600
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.
268 : 1, 2, 4, 67, 134, 268
174 : 1, 2, 3, 6, 29, 58, 87, 174
100 : 1, 2, 4, 5, 10, 20, 25, 50, 100
921 : 1, 3, 307, 921
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 268,174,100,921,968, is 1.
Now, the common factors can be found like this.
268:2x 2x 67
174:2x 3x 29
100:2x 2x 5x 5
921:3x 307
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 2x 2x 2x 3 = 96
Therefore, the value for common factors is 96.
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 = 4157373369600/(1x96)
LCM = 4157373369600/96
LCM = 43305972600
Thus, we can understand that the LCM of 268,174,100,921,968 is 43305972600.
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FAQs on LCM of 268, 174, 100, 921, 968
1. What is the LCM of 268, 174, 100, 921, 968?
Answer: LCM of 268, 174, 100, 921, 968 is 43305972600.
2. How to calculate the LCM of 268, 174, 100, 921, 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 268, 174, 100, 921, 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}.