LCM of 211, 375, 693, 980
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 211, 375, 693, 980 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 211, 375, 693, 980. So, keep reading to learn more.
Given numbers are 211,375,693,980
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 211,375,693,980 is 511780500.
Find LCM of 211,375,693,980 with Prime Factorization
| 3 | 211, 375, 693, 980 |
| 5 | 211, 125, 231, 980 |
| 7 | 211, 25, 231, 196 |
| 211, 25, 33, 28 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 7 x 211 x 25 x 33 x 28 = 511780500
Therefore, the lowest common multiple of 211,375,693,980 is 511780500.
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.
211 x 375 x 693 x 980 = 53736952500
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.
211 : 1, 211
375 : 1, 3, 5, 15, 25, 75, 125, 375
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 211,375,693,980, is 1.
Now, the common factors can be found like this.
211:211
375:3x 5x 5x 5
693:3x 3x 7x 11
980:2x 2x 5x 7x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 7 = 105
Therefore, the value for common factors is 105.
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 = 53736952500/(1x105)
LCM = 53736952500/105
LCM = 511780500
Thus, we can understand that the LCM of 211,375,693,980 is 511780500.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 211, 375, 693, 980
1. What is the LCM of 211, 375, 693, 980?
Answer: LCM of 211, 375, 693, 980 is 511780500.
2. How to calculate the LCM of 211, 375, 693, 980?
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 211, 375, 693, 980.
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}.