LCM of 367, 478, 774, 602, 193
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 367, 478, 774, 602, 193 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 367, 478, 774, 602, 193. So, keep reading to learn more.
Given numbers are 367,478,774,602,193
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 367,478,774,602,193 is 91719203562.
Find LCM of 367,478,774,602,193 with Prime Factorization
| 2 | 367, 478, 774, 602, 193 |
| 43 | 367, 239, 387, 301, 193 |
| 367, 239, 9, 7, 193 |
Multiply the prime numbers at the bottom and the left side.
2 x 43 x 367 x 239 x 9 x 7 x 193 = 91719203562
Therefore, the lowest common multiple of 367,478,774,602,193 is 91719203562.
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.
367 x 478 x 774 x 602 x 193 = 15775703012664
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.
367 : 1, 367
478 : 1, 2, 239, 478
774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
602 : 1, 2, 7, 14, 43, 86, 301, 602
193 : 1, 193
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 367,478,774,602,193, is 1.
Now, the common factors can be found like this.
367:367
478:2x 239
774:2x 3x 3x 43
602:2x 7x 43
193:193
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 43 = 172
Therefore, the value for common factors is 172.
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 = 15775703012664/(1x172)
LCM = 15775703012664/172
LCM = 91719203562
Thus, we can understand that the LCM of 367,478,774,602,193 is 91719203562.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 367, 478, 774, 602, 193
1. What is the LCM of 367, 478, 774, 602, 193?
Answer: LCM of 367, 478, 774, 602, 193 is 91719203562.
2. How to calculate the LCM of 367, 478, 774, 602, 193?
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 367, 478, 774, 602, 193.
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}.