LCM of 549, 415, 357, 665, 274
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 549, 415, 357, 665, 274 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 549, 415, 357, 665, 274. So, keep reading to learn more.
Given numbers are 549,415,357,665,274
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 549,415,357,665,274 is 141146972190.
Find LCM of 549,415,357,665,274 with Prime Factorization
| 3 | 549, 415, 357, 665, 274 |
| 5 | 183, 415, 119, 665, 274 |
| 7 | 183, 83, 119, 133, 274 |
| 183, 83, 17, 19, 274 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 7 x 183 x 83 x 17 x 19 x 274 = 141146972190
Therefore, the lowest common multiple of 549,415,357,665,274 is 141146972190.
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.
549 x 415 x 357 x 665 x 274 = 14820432079950
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.
549 : 1, 3, 9, 61, 183, 549
415 : 1, 5, 83, 415
357 : 1, 3, 7, 17, 21, 51, 119, 357
665 : 1, 5, 7, 19, 35, 95, 133, 665
274 : 1, 2, 137, 274
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 549,415,357,665,274, is 1.
Now, the common factors can be found like this.
549:3x 3x 61
415:5x 83
357:3x 7x 17
665:5x 7x 19
274:2x 137
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 7 = 105
Therefore, the value for common factors is 105.
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 = 14820432079950/(1x105)
LCM = 14820432079950/105
LCM = 141146972190
Thus, we can understand that the LCM of 549,415,357,665,274 is 141146972190.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 549, 415, 357, 665, 274
1. What is the LCM of 549, 415, 357, 665, 274?
Answer: LCM of 549, 415, 357, 665, 274 is 141146972190.
2. How to calculate the LCM of 549, 415, 357, 665, 274?
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 549, 415, 357, 665, 274.
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}.