LCM of 921, 518, 870, 820, 357
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 921, 518, 870, 820, 357 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 921, 518, 870, 820, 357. So, keep reading to learn more.
Given numbers are 921,518,870,820,357
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 921,518,870,820,357 is 96431776140.
Find LCM of 921,518,870,820,357 with Prime Factorization
| 2 | 921, 518, 870, 820, 357 |
| 3 | 921, 259, 435, 410, 357 |
| 5 | 307, 259, 145, 410, 119 |
| 7 | 307, 259, 29, 82, 119 |
| 307, 37, 29, 82, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 307 x 37 x 29 x 82 x 17 = 96431776140
Therefore, the lowest common multiple of 921,518,870,820,357 is 96431776140.
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.
921 x 518 x 870 x 820 x 357 = 121504037936400
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.
921 : 1, 3, 307, 921
518 : 1, 2, 7, 14, 37, 74, 259, 518
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
357 : 1, 3, 7, 17, 21, 51, 119, 357
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 921,518,870,820,357, is 1.
Now, the common factors can be found like this.
921:3x 307
518:2x 7x 37
870:2x 3x 5x 29
820:2x 2x 5x 41
357:3x 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 3x 3x 5x 7 = 1260
Therefore, the value for common factors is 1260.
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 = 121504037936400/(1x1260)
LCM = 121504037936400/1260
LCM = 96431776140
Thus, we can understand that the LCM of 921,518,870,820,357 is 96431776140.
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FAQs on LCM of 921, 518, 870, 820, 357
1. What is the LCM of 921, 518, 870, 820, 357?
Answer: LCM of 921, 518, 870, 820, 357 is 96431776140.
2. How to calculate the LCM of 921, 518, 870, 820, 357?
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 921, 518, 870, 820, 357.
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}.