LCM of 242, 360, 336, 357
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 242, 360, 336, 357 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 242, 360, 336, 357. So, keep reading to learn more.
Given numbers are 242,360,336,357
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 242,360,336,357 is 10367280.
Find LCM of 242,360,336,357 with Prime Factorization
| 2 | 242, 360, 336, 357 |
| 2 | 121, 180, 168, 357 |
| 2 | 121, 90, 84, 357 |
| 3 | 121, 45, 42, 357 |
| 7 | 121, 15, 14, 119 |
| 121, 15, 2, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 121 x 15 x 2 x 17 = 10367280
Therefore, the lowest common multiple of 242,360,336,357 is 10367280.
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.
242 x 360 x 336 x 357 = 10450218240
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.
242 : 1, 2, 11, 22, 121, 242
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
357 : 1, 3, 7, 17, 21, 51, 119, 357
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 242,360,336,357, is 1.
Now, the common factors can be found like this.
242:2x 11x 11
360:2x 2x 2x 3x 3x 5
336:2x 2x 2x 2x 3x 7
357:3x 7x 17
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 2x 3x 3x 7 = 1008
Therefore, the value for common factors is 1008.
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 = 10450218240/(1x1008)
LCM = 10450218240/1008
LCM = 10367280
Thus, we can understand that the LCM of 242,360,336,357 is 10367280.
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FAQs on LCM of 242, 360, 336, 357
1. What is the LCM of 242, 360, 336, 357?
Answer: LCM of 242, 360, 336, 357 is 10367280.
2. How to calculate the LCM of 242, 360, 336, 357?
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 242, 360, 336, 357.
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}.