LCM of 198, 496, 340, 716
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 198, 496, 340, 716 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 198, 496, 340, 716. So, keep reading to learn more.
Given numbers are 198,496,340,716
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 198,496,340,716 is 747117360.
Find LCM of 198,496,340,716 with Prime Factorization
| 2 | 198, 496, 340, 716 |
| 2 | 99, 248, 170, 358 |
| 99, 124, 85, 179 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 99 x 124 x 85 x 179 = 747117360
Therefore, the lowest common multiple of 198,496,340,716 is 747117360.
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.
198 x 496 x 340 x 716 = 23907755520
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.
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
716 : 1, 2, 4, 179, 358, 716
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 198,496,340,716, is 2.
Now, the common factors can be found like this.
198:2x 3x 3x 11
496:2x 2x 2x 2x 31
340:2x 2x 5x 17
716:2x 2x 179
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 2x 2 = 16
Therefore, the value for common factors is 16.
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 = 23907755520/(2x16)
LCM = 23907755520/32
LCM = 747117360
Thus, we can understand that the LCM of 198,496,340,716 is 747117360.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 198, 496, 340, 716
1. What is the LCM of 198, 496, 340, 716?
Answer: LCM of 198, 496, 340, 716 is 747117360.
2. How to calculate the LCM of 198, 496, 340, 716?
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 198, 496, 340, 716.
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}.