LCM of 834, 222, 251, 917, 368
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 834, 222, 251, 917, 368 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 834, 222, 251, 917, 368. So, keep reading to learn more.
Given numbers are 834,222,251,917,368
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 834,222,251,917,368 is 1306858764624.
Find LCM of 834,222,251,917,368 with Prime Factorization
| 2 | 834, 222, 251, 917, 368 |
| 3 | 417, 111, 251, 917, 184 |
| 139, 37, 251, 917, 184 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 139 x 37 x 251 x 917 x 184 = 1306858764624
Therefore, the lowest common multiple of 834,222,251,917,368 is 1306858764624.
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.
834 x 222 x 251 x 917 x 368 = 15682305175488
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.
834 : 1, 2, 3, 6, 139, 278, 417, 834
222 : 1, 2, 3, 6, 37, 74, 111, 222
251 : 1, 251
917 : 1, 7, 131, 917
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 834,222,251,917,368, is 1.
Now, the common factors can be found like this.
834:2x 3x 139
222:2x 3x 37
251:251
917:7x 131
368:2x 2x 2x 2x 23
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 3 = 12
Therefore, the value for common factors is 12.
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 = 15682305175488/(1x12)
LCM = 15682305175488/12
LCM = 1306858764624
Thus, we can understand that the LCM of 834,222,251,917,368 is 1306858764624.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 834, 222, 251, 917, 368
1. What is the LCM of 834, 222, 251, 917, 368?
Answer: LCM of 834, 222, 251, 917, 368 is 1306858764624.
2. How to calculate the LCM of 834, 222, 251, 917, 368?
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 834, 222, 251, 917, 368.
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}.