LCM of 368, 382, 771, 612, 994
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 368, 382, 771, 612, 994 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 368, 382, 771, 612, 994. So, keep reading to learn more.
Given numbers are 368,382,771,612,994
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 368,382,771,612,994 is 1373605840656.
Find LCM of 368,382,771,612,994 with Prime Factorization
| 2 | 368, 382, 771, 612, 994 |
| 2 | 184, 191, 771, 306, 497 |
| 3 | 92, 191, 771, 153, 497 |
| 92, 191, 257, 51, 497 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 92 x 191 x 257 x 51 x 497 = 1373605840656
Therefore, the lowest common multiple of 368,382,771,612,994 is 1373605840656.
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.
368 x 382 x 771 x 612 x 994 = 65933080351488
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.
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
382 : 1, 2, 191, 382
771 : 1, 3, 257, 771
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
994 : 1, 2, 7, 14, 71, 142, 497, 994
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 368,382,771,612,994, is 1.
Now, the common factors can be found like this.
368:2x 2x 2x 2x 23
382:2x 191
771:3x 257
612:2x 2x 3x 3x 17
994:2x 7x 71
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 3 = 48
Therefore, the value for common factors is 48.
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 = 65933080351488/(1x48)
LCM = 65933080351488/48
LCM = 1373605840656
Thus, we can understand that the LCM of 368,382,771,612,994 is 1373605840656.
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FAQs on LCM of 368, 382, 771, 612, 994
1. What is the LCM of 368, 382, 771, 612, 994?
Answer: LCM of 368, 382, 771, 612, 994 is 1373605840656.
2. How to calculate the LCM of 368, 382, 771, 612, 994?
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 368, 382, 771, 612, 994.
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}.