LCM of 862, 968, 447, 407
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 862, 968, 447, 407 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 862, 968, 447, 407. So, keep reading to learn more.
Given numbers are 862,968,447,407
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 862,968,447,407 is 6900203112.
Find LCM of 862,968,447,407 with Prime Factorization
| 2 | 862, 968, 447, 407 |
| 11 | 431, 484, 447, 407 |
| 431, 44, 447, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 431 x 44 x 447 x 37 = 6900203112
Therefore, the lowest common multiple of 862,968,447,407 is 6900203112.
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.
862 x 968 x 447 x 407 = 151804468464
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.
862 : 1, 2, 431, 862
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
447 : 1, 3, 149, 447
407 : 1, 11, 37, 407
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 862,968,447,407, is 1.
Now, the common factors can be found like this.
862:2x 431
968:2x 2x 2x 11x 11
447:3x 149
407:11x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11 = 22
Therefore, the value for common factors is 22.
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 = 151804468464/(1x22)
LCM = 151804468464/22
LCM = 6900203112
Thus, we can understand that the LCM of 862,968,447,407 is 6900203112.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 862, 968, 447, 407
1. What is the LCM of 862, 968, 447, 407?
Answer: LCM of 862, 968, 447, 407 is 6900203112.
2. How to calculate the LCM of 862, 968, 447, 407?
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 862, 968, 447, 407.
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}.