LCM of 935, 755, 306, 671, 749
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 935, 755, 306, 671, 749 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 935, 755, 306, 671, 749. So, keep reading to learn more.
Given numbers are 935,755,306,671,749
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 935,755,306,671,749 is 116110826370.
Find LCM of 935,755,306,671,749 with Prime Factorization
| 5 | 935, 755, 306, 671, 749 |
| 11 | 187, 151, 306, 671, 749 |
| 17 | 17, 151, 306, 61, 749 |
| 1, 151, 18, 61, 749 |
Multiply the prime numbers at the bottom and the left side.
5 x 11 x 17 x 1 x 151 x 18 x 61 x 749 = 116110826370
Therefore, the lowest common multiple of 935,755,306,671,749 is 116110826370.
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.
935 x 755 x 306 x 671 x 749 = 108563622655950
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.
935 : 1, 5, 11, 17, 55, 85, 187, 935
755 : 1, 5, 151, 755
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
671 : 1, 11, 61, 671
749 : 1, 7, 107, 749
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 935,755,306,671,749, is 1.
Now, the common factors can be found like this.
935:5x 11x 17
755:5x 151
306:2x 3x 3x 17
671:11x 61
749:7x 107
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 11x 17 = 935
Therefore, the value for common factors is 935.
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 = 108563622655950/(1x935)
LCM = 108563622655950/935
LCM = 116110826370
Thus, we can understand that the LCM of 935,755,306,671,749 is 116110826370.
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FAQs on LCM of 935, 755, 306, 671, 749
1. What is the LCM of 935, 755, 306, 671, 749?
Answer: LCM of 935, 755, 306, 671, 749 is 116110826370.
2. How to calculate the LCM of 935, 755, 306, 671, 749?
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 935, 755, 306, 671, 749.
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}.