LCM of 669, 377, 195, 716, 112
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 669, 377, 195, 716, 112 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 669, 377, 195, 716, 112. So, keep reading to learn more.
Given numbers are 669,377,195,716,112
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 669,377,195,716,112 is 25281831120.
Find LCM of 669,377,195,716,112 with Prime Factorization
| 2 | 669, 377, 195, 716, 112 |
| 2 | 669, 377, 195, 358, 56 |
| 3 | 669, 377, 195, 179, 28 |
| 13 | 223, 377, 65, 179, 28 |
| 223, 29, 5, 179, 28 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 223 x 29 x 5 x 179 x 28 = 25281831120
Therefore, the lowest common multiple of 669,377,195,716,112 is 25281831120.
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.
669 x 377 x 195 x 716 x 112 = 3943965654720
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.
669 : 1, 3, 223, 669
377 : 1, 13, 29, 377
195 : 1, 3, 5, 13, 15, 39, 65, 195
716 : 1, 2, 4, 179, 358, 716
112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 669,377,195,716,112, is 1.
Now, the common factors can be found like this.
669:3x 223
377:13x 29
195:3x 5x 13
716:2x 2x 179
112:2x 2x 2x 2x 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 3x 13 = 156
Therefore, the value for common factors is 156.
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 = 3943965654720/(1x156)
LCM = 3943965654720/156
LCM = 25281831120
Thus, we can understand that the LCM of 669,377,195,716,112 is 25281831120.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 669, 377, 195, 716, 112
1. What is the LCM of 669, 377, 195, 716, 112?
Answer: LCM of 669, 377, 195, 716, 112 is 25281831120.
2. How to calculate the LCM of 669, 377, 195, 716, 112?
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 669, 377, 195, 716, 112.
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}.