LCM of 837, 357, 983, 203, 721
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 837, 357, 983, 203, 721 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 837, 357, 983, 203, 721. So, keep reading to learn more.
Given numbers are 837,357,983,203,721
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 837,357,983,203,721 is 292456420263.
Find LCM of 837,357,983,203,721 with Prime Factorization
| 3 | 837, 357, 983, 203, 721 |
| 7 | 279, 119, 983, 203, 721 |
| 279, 17, 983, 29, 103 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 279 x 17 x 983 x 29 x 103 = 292456420263
Therefore, the lowest common multiple of 837,357,983,203,721 is 292456420263.
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.
837 x 357 x 983 x 203 x 721 = 42991093778661
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.
837 : 1, 3, 9, 27, 31, 93, 279, 837
357 : 1, 3, 7, 17, 21, 51, 119, 357
983 : 1, 983
203 : 1, 7, 29, 203
721 : 1, 7, 103, 721
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 837,357,983,203,721, is 1.
Now, the common factors can be found like this.
837:3x 3x 3x 31
357:3x 7x 17
983:983
203:7x 29
721:7x 103
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7x 7 = 147
Therefore, the value for common factors is 147.
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 = 42991093778661/(1x147)
LCM = 42991093778661/147
LCM = 292456420263
Thus, we can understand that the LCM of 837,357,983,203,721 is 292456420263.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 837, 357, 983, 203, 721
1. What is the LCM of 837, 357, 983, 203, 721?
Answer: LCM of 837, 357, 983, 203, 721 is 292456420263.
2. How to calculate the LCM of 837, 357, 983, 203, 721?
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 837, 357, 983, 203, 721.
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}.