LCM of 785, 224, 800, 167, 418
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 785, 224, 800, 167, 418 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 785, 224, 800, 167, 418. So, keep reading to learn more.
Given numbers are 785,224,800,167,418
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 785,224,800,167,418 is 30686717600.
Find LCM of 785,224,800,167,418 with Prime Factorization
| 2 | 785, 224, 800, 167, 418 |
| 2 | 785, 112, 400, 167, 209 |
| 2 | 785, 56, 200, 167, 209 |
| 2 | 785, 28, 100, 167, 209 |
| 2 | 785, 14, 50, 167, 209 |
| 5 | 785, 7, 25, 167, 209 |
| 157, 7, 5, 167, 209 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 5 x 157 x 7 x 5 x 167 x 209 = 30686717600
Therefore, the lowest common multiple of 785,224,800,167,418 is 30686717600.
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.
785 x 224 x 800 x 167 x 418 = 9819749632000
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.
785 : 1, 5, 157, 785
224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
167 : 1, 167
418 : 1, 2, 11, 19, 22, 38, 209, 418
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 785,224,800,167,418, is 1.
Now, the common factors can be found like this.
785:5x 157
224:2x 2x 2x 2x 2x 7
800:2x 2x 2x 2x 2x 5x 5
167:167
418:2x 11x 19
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 2x 5 = 320
Therefore, the value for common factors is 320.
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 = 9819749632000/(1x320)
LCM = 9819749632000/320
LCM = 30686717600
Thus, we can understand that the LCM of 785,224,800,167,418 is 30686717600.
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FAQs on LCM of 785, 224, 800, 167, 418
1. What is the LCM of 785, 224, 800, 167, 418?
Answer: LCM of 785, 224, 800, 167, 418 is 30686717600.
2. How to calculate the LCM of 785, 224, 800, 167, 418?
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 785, 224, 800, 167, 418.
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}.