LCM of 617, 940, 140, 189
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 617, 940, 140, 189 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 617, 940, 140, 189. So, keep reading to learn more.
Given numbers are 617,940,140,189
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 617,940,140,189 is 109616220.
Find LCM of 617,940,140,189 with Prime Factorization
| 2 | 617, 940, 140, 189 |
| 2 | 617, 470, 70, 189 |
| 5 | 617, 235, 35, 189 |
| 7 | 617, 47, 7, 189 |
| 617, 47, 1, 27 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 617 x 47 x 1 x 27 = 109616220
Therefore, the lowest common multiple of 617,940,140,189 is 109616220.
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.
617 x 940 x 140 x 189 = 15346270800
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.
617 : 1, 617
940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
189 : 1, 3, 7, 9, 21, 27, 63, 189
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 617,940,140,189, is 1.
Now, the common factors can be found like this.
617:617
940:2x 2x 5x 47
140:2x 2x 5x 7
189:3x 3x 3x 7
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 5x 7 = 140
Therefore, the value for common factors is 140.
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 = 15346270800/(1x140)
LCM = 15346270800/140
LCM = 109616220
Thus, we can understand that the LCM of 617,940,140,189 is 109616220.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 617, 940, 140, 189
1. What is the LCM of 617, 940, 140, 189?
Answer: LCM of 617, 940, 140, 189 is 109616220.
2. How to calculate the LCM of 617, 940, 140, 189?
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 617, 940, 140, 189.
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}.