LCM of 743, 385, 424, 968, 938
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 743, 385, 424, 968, 938 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 743, 385, 424, 968, 938. So, keep reading to learn more.
Given numbers are 743,385,424,968,938
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 743,385,424,968,938 is 89388754840.
Find LCM of 743,385,424,968,938 with Prime Factorization
| 2 | 743, 385, 424, 968, 938 |
| 2 | 743, 385, 212, 484, 469 |
| 2 | 743, 385, 106, 242, 469 |
| 7 | 743, 385, 53, 121, 469 |
| 11 | 743, 55, 53, 121, 67 |
| 743, 5, 53, 11, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 11 x 743 x 5 x 53 x 11 x 67 = 89388754840
Therefore, the lowest common multiple of 743,385,424,968,938 is 89388754840.
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.
743 x 385 x 424 x 968 x 938 = 110126945962880
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.
743 : 1, 743
385 : 1, 5, 7, 11, 35, 55, 77, 385
424 : 1, 2, 4, 8, 53, 106, 212, 424
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
938 : 1, 2, 7, 14, 67, 134, 469, 938
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 743,385,424,968,938, is 1.
Now, the common factors can be found like this.
743:743
385:5x 7x 11
424:2x 2x 2x 53
968:2x 2x 2x 11x 11
938:2x 7x 67
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 7x 11 = 1232
Therefore, the value for common factors is 1232.
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 = 110126945962880/(1x1232)
LCM = 110126945962880/1232
LCM = 89388754840
Thus, we can understand that the LCM of 743,385,424,968,938 is 89388754840.
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FAQs on LCM of 743, 385, 424, 968, 938
1. What is the LCM of 743, 385, 424, 968, 938?
Answer: LCM of 743, 385, 424, 968, 938 is 89388754840.
2. How to calculate the LCM of 743, 385, 424, 968, 938?
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 743, 385, 424, 968, 938.
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}.