LCM of 950, 988, 820, 764, 209
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 950, 988, 820, 764, 209 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 950, 988, 820, 764, 209. So, keep reading to learn more.
Given numbers are 950,988,820,764,209
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 950,988,820,764,209 is 2127682700.
Find LCM of 950,988,820,764,209 with Prime Factorization
| 2 | 950, 988, 820, 764, 209 |
| 2 | 475, 494, 410, 382, 209 |
| 5 | 475, 247, 205, 191, 209 |
| 19 | 95, 247, 41, 191, 209 |
| 5, 13, 41, 191, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 19 x 5 x 13 x 41 x 191 x 11 = 2127682700
Therefore, the lowest common multiple of 950,988,820,764,209 is 2127682700.
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.
950 x 988 x 820 x 764 x 209 = 122894952752000
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.
950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
764 : 1, 2, 4, 191, 382, 764
209 : 1, 11, 19, 209
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 950,988,820,764,209, is 1.
Now, the common factors can be found like this.
950:2x 5x 5x 19
988:2x 2x 13x 19
820:2x 2x 5x 41
764:2x 2x 191
209:11x 19
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 2x 2x 5x 19x 19 = 57760
Therefore, the value for common factors is 57760.
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 = 122894952752000/(1x57760)
LCM = 122894952752000/57760
LCM = 2127682700
Thus, we can understand that the LCM of 950,988,820,764,209 is 2127682700.
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FAQs on LCM of 950, 988, 820, 764, 209
1. What is the LCM of 950, 988, 820, 764, 209?
Answer: LCM of 950, 988, 820, 764, 209 is 2127682700.
2. How to calculate the LCM of 950, 988, 820, 764, 209?
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 950, 988, 820, 764, 209.
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}.