LCM of 741, 240, 381, 841, 946
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 741, 240, 381, 841, 946 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, 240, 381, 841, 946. So, keep reading to learn more.
Given numbers are 741,240,381,841,946
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 741,240,381,841,946 is 2994808468080.
Find LCM of 741,240,381,841,946 with Prime Factorization
| 2 | 741, 240, 381, 841, 946 |
| 3 | 741, 120, 381, 841, 473 |
| 247, 40, 127, 841, 473 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 247 x 40 x 127 x 841 x 473 = 2994808468080
Therefore, the lowest common multiple of 741,240,381,841,946 is 2994808468080.
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 240 x 381 x 841 x 946 = 53906552425440
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
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
381 : 1, 3, 127, 381
841 : 1, 29, 841
946 : 1, 2, 11, 22, 43, 86, 473, 946
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 741,240,381,841,946, is 1.
Now, the common factors can be found like this.
741:3x 13x 19
240:2x 2x 2x 2x 3x 5
381:3x 127
841:29x 29
946:2x 11x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3 = 18
Therefore, the value for common factors is 18.
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 = 53906552425440/(1x18)
LCM = 53906552425440/18
LCM = 2994808468080
Thus, we can understand that the LCM of 741,240,381,841,946 is 2994808468080.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 741, 240, 381, 841, 946
1. What is the LCM of 741, 240, 381, 841, 946?
Answer: LCM of 741, 240, 381, 841, 946 is 2994808468080.
2. How to calculate the LCM of 741, 240, 381, 841, 946?
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, 240, 381, 841, 946.
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}.