LCM of 676, 858, 850, 345, 714
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 676, 858, 850, 345, 714 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 676, 858, 850, 345, 714. So, keep reading to learn more.
Given numbers are 676,858,850,345,714
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 676,858,850,345,714 is 1526424900.
Find LCM of 676,858,850,345,714 with Prime Factorization
| 2 | 676, 858, 850, 345, 714 |
| 3 | 338, 429, 425, 345, 357 |
| 5 | 338, 143, 425, 115, 119 |
| 13 | 338, 143, 85, 23, 119 |
| 17 | 26, 11, 85, 23, 119 |
| 26, 11, 5, 23, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 13 x 17 x 26 x 11 x 5 x 23 x 7 = 1526424900
Therefore, the lowest common multiple of 676,858,850,345,714 is 1526424900.
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.
676 x 858 x 850 x 345 x 714 = 121442365044000
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.
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
345 : 1, 3, 5, 15, 23, 69, 115, 345
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,858,850,345,714, is 1.
Now, the common factors can be found like this.
676:2x 2x 13x 13
858:2x 3x 11x 13
850:2x 5x 5x 17
345:3x 5x 23
714:2x 3x 7x 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 3x 5x 13x 17 = 79560
Therefore, the value for common factors is 79560.
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 = 121442365044000/(1x79560)
LCM = 121442365044000/79560
LCM = 1526424900
Thus, we can understand that the LCM of 676,858,850,345,714 is 1526424900.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 676, 858, 850, 345, 714
1. What is the LCM of 676, 858, 850, 345, 714?
Answer: LCM of 676, 858, 850, 345, 714 is 1526424900.
2. How to calculate the LCM of 676, 858, 850, 345, 714?
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 676, 858, 850, 345, 714.
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}.