LCM of 194, 667, 374, 580
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 194, 667, 374, 580 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 194, 667, 374, 580. So, keep reading to learn more.
Given numbers are 194,667,374,580
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 194,667,374,580 is 241974260.
Find LCM of 194,667,374,580 with Prime Factorization
| 2 | 194, 667, 374, 580 |
| 29 | 97, 667, 187, 290 |
| 97, 23, 187, 10 |
Multiply the prime numbers at the bottom and the left side.
2 x 29 x 97 x 23 x 187 x 10 = 241974260
Therefore, the lowest common multiple of 194,667,374,580 is 241974260.
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.
194 x 667 x 374 x 580 = 28069014160
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.
194 : 1, 2, 97, 194
667 : 1, 23, 29, 667
374 : 1, 2, 11, 17, 22, 34, 187, 374
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 194,667,374,580, is 1.
Now, the common factors can be found like this.
194:2x 97
667:23x 29
374:2x 11x 17
580:2x 2x 5x 29
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 29 = 116
Therefore, the value for common factors is 116.
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 = 28069014160/(1x116)
LCM = 28069014160/116
LCM = 241974260
Thus, we can understand that the LCM of 194,667,374,580 is 241974260.
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FAQs on LCM of 194, 667, 374, 580
1. What is the LCM of 194, 667, 374, 580?
Answer: LCM of 194, 667, 374, 580 is 241974260.
2. How to calculate the LCM of 194, 667, 374, 580?
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 194, 667, 374, 580.
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}.