LCM of 931, 962, 691, 875, 735
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 931, 962, 691, 875, 735 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 931, 962, 691, 875, 735. So, keep reading to learn more.
Given numbers are 931,962,691,875,735
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 931,962,691,875,735 is 232078050750.
Find LCM of 931,962,691,875,735 with Prime Factorization
| 5 | 931, 962, 691, 875, 735 |
| 7 | 931, 962, 691, 175, 147 |
| 7 | 133, 962, 691, 25, 21 |
| 19, 962, 691, 25, 3 |
Multiply the prime numbers at the bottom and the left side.
5 x 7 x 7 x 19 x 962 x 691 x 25 x 3 = 232078050750
Therefore, the lowest common multiple of 931,962,691,875,735 is 232078050750.
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.
931 x 962 x 691 x 875 x 735 = 398013857036250
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.
931 : 1, 7, 19, 49, 133, 931
962 : 1, 2, 13, 26, 37, 74, 481, 962
691 : 1, 691
875 : 1, 5, 7, 25, 35, 125, 175, 875
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 931,962,691,875,735, is 1.
Now, the common factors can be found like this.
931:7x 7x 19
962:2x 13x 37
691:691
875:5x 5x 5x 7
735:3x 5x 7x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 7x 7x 7 = 1715
Therefore, the value for common factors is 1715.
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 = 398013857036250/(1x1715)
LCM = 398013857036250/1715
LCM = 232078050750
Thus, we can understand that the LCM of 931,962,691,875,735 is 232078050750.
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FAQs on LCM of 931, 962, 691, 875, 735
1. What is the LCM of 931, 962, 691, 875, 735?
Answer: LCM of 931, 962, 691, 875, 735 is 232078050750.
2. How to calculate the LCM of 931, 962, 691, 875, 735?
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 931, 962, 691, 875, 735.
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}.