LCM of 894, 374, 276, 418, 170
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 894, 374, 276, 418, 170 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 894, 374, 276, 418, 170. So, keep reading to learn more.
Given numbers are 894,374,276,418,170
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 894,374,276,418,170 is 730567860.
Find LCM of 894,374,276,418,170 with Prime Factorization
| 2 | 894, 374, 276, 418, 170 |
| 3 | 447, 187, 138, 209, 85 |
| 11 | 149, 187, 46, 209, 85 |
| 17 | 149, 17, 46, 19, 85 |
| 149, 1, 46, 19, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 17 x 149 x 1 x 46 x 19 x 5 = 730567860
Therefore, the lowest common multiple of 894,374,276,418,170 is 730567860.
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.
894 x 374 x 276 x 418 x 170 = 6557577111360
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.
894 : 1, 2, 3, 6, 149, 298, 447, 894
374 : 1, 2, 11, 17, 22, 34, 187, 374
276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
418 : 1, 2, 11, 19, 22, 38, 209, 418
170 : 1, 2, 5, 10, 17, 34, 85, 170
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 894,374,276,418,170, is 2.
Now, the common factors can be found like this.
894:2x 3x 149
374:2x 11x 17
276:2x 2x 3x 23
418:2x 11x 19
170:2x 5x 17
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 3x 11x 17 = 4488
Therefore, the value for common factors is 4488.
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 = 6557577111360/(2x4488)
LCM = 6557577111360/8976
LCM = 730567860
Thus, we can understand that the LCM of 894,374,276,418,170 is 730567860.
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FAQs on LCM of 894, 374, 276, 418, 170
1. What is the LCM of 894, 374, 276, 418, 170?
Answer: LCM of 894, 374, 276, 418, 170 is 730567860.
2. How to calculate the LCM of 894, 374, 276, 418, 170?
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 894, 374, 276, 418, 170.
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}.