LCM of 858, 359, 820, 962, 597
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 858, 359, 820, 962, 597 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, 359, 820, 962, 597. So, keep reading to learn more.
Given numbers are 858,359,820,962,597
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 858,359,820,962,597 is 929866054260.
Find LCM of 858,359,820,962,597 with Prime Factorization
| 2 | 858, 359, 820, 962, 597 |
| 3 | 429, 359, 410, 481, 597 |
| 13 | 143, 359, 410, 481, 199 |
| 11, 359, 410, 37, 199 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 11 x 359 x 410 x 37 x 199 = 929866054260
Therefore, the lowest common multiple of 858,359,820,962,597 is 929866054260.
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 359 x 820 x 962 x 597 = 145059104464560
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
359 : 1, 359
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
962 : 1, 2, 13, 26, 37, 74, 481, 962
597 : 1, 3, 199, 597
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 858,359,820,962,597, is 1.
Now, the common factors can be found like this.
858:2x 3x 11x 13
359:359
820:2x 2x 5x 41
962:2x 13x 37
597:3x 199
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 13 = 156
Therefore, the value for common factors is 156.
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 = 145059104464560/(1x156)
LCM = 145059104464560/156
LCM = 929866054260
Thus, we can understand that the LCM of 858,359,820,962,597 is 929866054260.
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FAQs on LCM of 858, 359, 820, 962, 597
1. What is the LCM of 858, 359, 820, 962, 597?
Answer: LCM of 858, 359, 820, 962, 597 is 929866054260.
2. How to calculate the LCM of 858, 359, 820, 962, 597?
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, 359, 820, 962, 597.
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}.