LCM of 705, 968, 105, 118
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 705, 968, 105, 118 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 705, 968, 105, 118. So, keep reading to learn more.
Given numbers are 705,968,105,118
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 705,968,105,118 is 281847720.
Find LCM of 705,968,105,118 with Prime Factorization
| 2 | 705, 968, 105, 118 |
| 3 | 705, 484, 105, 59 |
| 5 | 235, 484, 35, 59 |
| 47, 484, 7, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 47 x 484 x 7 x 59 = 281847720
Therefore, the lowest common multiple of 705,968,105,118 is 281847720.
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.
705 x 968 x 105 x 118 = 8455431600
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.
705 : 1, 3, 5, 15, 47, 141, 235, 705
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
105 : 1, 3, 5, 7, 15, 21, 35, 105
118 : 1, 2, 59, 118
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 705,968,105,118, is 1.
Now, the common factors can be found like this.
705:3x 5x 47
968:2x 2x 2x 11x 11
105:3x 5x 7
118:2x 59
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5 = 30
Therefore, the value for common factors is 30.
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 = 8455431600/(1x30)
LCM = 8455431600/30
LCM = 281847720
Thus, we can understand that the LCM of 705,968,105,118 is 281847720.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 705, 968, 105, 118
1. What is the LCM of 705, 968, 105, 118?
Answer: LCM of 705, 968, 105, 118 is 281847720.
2. How to calculate the LCM of 705, 968, 105, 118?
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 705, 968, 105, 118.
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}.