LCM of 762, 742, 371, 966, 994
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 762, 742, 371, 966, 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 762, 742, 371, 966, 994. So, keep reading to learn more.
Given numbers are 762,742,371,966,994
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 762,742,371,966,994 is 461652366.
Find LCM of 762,742,371,966,994 with Prime Factorization
| 2 | 762, 742, 371, 966, 994 |
| 3 | 381, 371, 371, 483, 497 |
| 7 | 127, 371, 371, 161, 497 |
| 53 | 127, 53, 53, 23, 71 |
| 127, 1, 1, 23, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 53 x 127 x 1 x 1 x 23 x 71 = 461652366
Therefore, the lowest common multiple of 762,742,371,966,994 is 461652366.
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.
762 x 742 x 371 x 966 x 994 = 201417080676336
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.
762 : 1, 2, 3, 6, 127, 254, 381, 762
742 : 1, 2, 7, 14, 53, 106, 371, 742
371 : 1, 7, 53, 371
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
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 762,742,371,966,994, is 1.
Now, the common factors can be found like this.
762:2x 3x 127
742:2x 7x 53
371:7x 53
966:2x 3x 7x 23
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 3x 7x 7x 7x 53 = 436296
Therefore, the value for common factors is 436296.
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 = 201417080676336/(1x436296)
LCM = 201417080676336/436296
LCM = 461652366
Thus, we can understand that the LCM of 762,742,371,966,994 is 461652366.
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FAQs on LCM of 762, 742, 371, 966, 994
1. What is the LCM of 762, 742, 371, 966, 994?
Answer: LCM of 762, 742, 371, 966, 994 is 461652366.
2. How to calculate the LCM of 762, 742, 371, 966, 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 762, 742, 371, 966, 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}.