LCM of 943, 988, 682, 759, 299
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 943, 988, 682, 759, 299 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 943, 988, 682, 759, 299. So, keep reading to learn more.
Given numbers are 943,988,682,759,299
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 943,988,682,759,299 is 953112732.
Find LCM of 943,988,682,759,299 with Prime Factorization
| 2 | 943, 988, 682, 759, 299 |
| 11 | 943, 494, 341, 759, 299 |
| 13 | 943, 494, 31, 69, 299 |
| 23 | 943, 38, 31, 69, 23 |
| 41, 38, 31, 3, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 13 x 23 x 41 x 38 x 31 x 3 x 1 = 953112732
Therefore, the lowest common multiple of 943,988,682,759,299 is 953112732.
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.
943 x 988 x 682 x 759 x 299 = 144200237675208
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.
943 : 1, 23, 41, 943
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
682 : 1, 2, 11, 22, 31, 62, 341, 682
759 : 1, 3, 11, 23, 33, 69, 253, 759
299 : 1, 13, 23, 299
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 943,988,682,759,299, is 1.
Now, the common factors can be found like this.
943:23x 41
988:2x 2x 13x 19
682:2x 11x 31
759:3x 11x 23
299:13x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 13x 23x 23 = 151294
Therefore, the value for common factors is 151294.
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 = 144200237675208/(1x151294)
LCM = 144200237675208/151294
LCM = 953112732
Thus, we can understand that the LCM of 943,988,682,759,299 is 953112732.
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FAQs on LCM of 943, 988, 682, 759, 299
1. What is the LCM of 943, 988, 682, 759, 299?
Answer: LCM of 943, 988, 682, 759, 299 is 953112732.
2. How to calculate the LCM of 943, 988, 682, 759, 299?
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 943, 988, 682, 759, 299.
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}.