LCM of 858, 735, 286, 392
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 858, 735, 286, 392 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 858, 735, 286, 392. So, keep reading to learn more.
Given numbers are 858,735,286,392
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 858,735,286,392 is 840840.
Find LCM of 858,735,286,392 with Prime Factorization
| 2 | 858, 735, 286, 392 |
| 3 | 429, 735, 143, 196 |
| 7 | 143, 245, 143, 196 |
| 7 | 143, 35, 143, 28 |
| 11 | 143, 5, 143, 4 |
| 13 | 13, 5, 13, 4 |
| 1, 5, 1, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 7 x 11 x 13 x 1 x 5 x 1 x 4 = 840840
Therefore, the lowest common multiple of 858,735,286,392 is 840840.
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.
858 x 735 x 286 x 392 = 70701190560
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.
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
286 : 1, 2, 11, 13, 22, 26, 143, 286
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 858,735,286,392, is 1.
Now, the common factors can be found like this.
858:2x 3x 11x 13
735:3x 5x 7x 7
286:2x 11x 13
392:2x 2x 2x 7x 7
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 3x 7x 7x 11x 13 = 84084
Therefore, the value for common factors is 84084.
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 = 70701190560/(1x84084)
LCM = 70701190560/84084
LCM = 840840
Thus, we can understand that the LCM of 858,735,286,392 is 840840.
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FAQs on LCM of 858, 735, 286, 392
1. What is the LCM of 858, 735, 286, 392?
Answer: LCM of 858, 735, 286, 392 is 840840.
2. How to calculate the LCM of 858, 735, 286, 392?
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 858, 735, 286, 392.
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}.