LCM of 741, 840, 308, 356
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 741, 840, 308, 356 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 741, 840, 308, 356. So, keep reading to learn more.
Given numbers are 741,840,308,356
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 741,840,308,356 is 203122920.
Find LCM of 741,840,308,356 with Prime Factorization
| 2 | 741, 840, 308, 356 |
| 2 | 741, 420, 154, 178 |
| 3 | 741, 210, 77, 89 |
| 7 | 247, 70, 77, 89 |
| 247, 10, 11, 89 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 247 x 10 x 11 x 89 = 203122920
Therefore, the lowest common multiple of 741,840,308,356 is 203122920.
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.
741 x 840 x 308 x 356 = 68249301120
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.
741 : 1, 3, 13, 19, 39, 57, 247, 741
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
356 : 1, 2, 4, 89, 178, 356
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 741,840,308,356, is 1.
Now, the common factors can be found like this.
741:3x 13x 19
840:2x 2x 2x 3x 5x 7
308:2x 2x 7x 11
356:2x 2x 89
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 = 68249301120/(1x336)
LCM = 68249301120/336
LCM = 203122920
Thus, we can understand that the LCM of 741,840,308,356 is 203122920.
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FAQs on LCM of 741, 840, 308, 356
1. What is the LCM of 741, 840, 308, 356?
Answer: LCM of 741, 840, 308, 356 is 203122920.
2. How to calculate the LCM of 741, 840, 308, 356?
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 741, 840, 308, 356.
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}.