LCM of 301, 760, 336, 354
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 301, 760, 336, 354 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 301, 760, 336, 354. So, keep reading to learn more.
Given numbers are 301,760,336,354
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 301,760,336,354 is 80981040.
Find LCM of 301,760,336,354 with Prime Factorization
| 2 | 301, 760, 336, 354 |
| 2 | 301, 380, 168, 177 |
| 2 | 301, 190, 84, 177 |
| 3 | 301, 95, 42, 177 |
| 7 | 301, 95, 14, 59 |
| 43, 95, 2, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 43 x 95 x 2 x 59 = 80981040
Therefore, the lowest common multiple of 301,760,336,354 is 80981040.
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.
301 x 760 x 336 x 354 = 27209629440
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.
301 : 1, 7, 43, 301
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
354 : 1, 2, 3, 6, 59, 118, 177, 354
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 301,760,336,354, is 1.
Now, the common factors can be found like this.
301:7x 43
760:2x 2x 2x 5x 19
336:2x 2x 2x 2x 3x 7
354:2x 3x 59
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 7 = 336
Therefore, the value for common factors is 336.
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 = 27209629440/(1x336)
LCM = 27209629440/336
LCM = 80981040
Thus, we can understand that the LCM of 301,760,336,354 is 80981040.
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FAQs on LCM of 301, 760, 336, 354
1. What is the LCM of 301, 760, 336, 354?
Answer: LCM of 301, 760, 336, 354 is 80981040.
2. How to calculate the LCM of 301, 760, 336, 354?
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 301, 760, 336, 354.
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}.