LCM of 925, 615, 737, 905, 759
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 925, 615, 737, 905, 759 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 925, 615, 737, 905, 759. So, keep reading to learn more.
Given numbers are 925,615,737,905,759
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 925,615,737,905,759 is 349076604525.
Find LCM of 925,615,737,905,759 with Prime Factorization
| 3 | 925, 615, 737, 905, 759 |
| 5 | 925, 205, 737, 905, 253 |
| 11 | 185, 41, 737, 181, 253 |
| 185, 41, 67, 181, 23 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 11 x 185 x 41 x 67 x 181 x 23 = 349076604525
Therefore, the lowest common multiple of 925,615,737,905,759 is 349076604525.
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.
925 x 615 x 737 x 905 x 759 = 287988198733125
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.
925 : 1, 5, 25, 37, 185, 925
615 : 1, 3, 5, 15, 41, 123, 205, 615
737 : 1, 11, 67, 737
905 : 1, 5, 181, 905
759 : 1, 3, 11, 23, 33, 69, 253, 759
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 925,615,737,905,759, is 1.
Now, the common factors can be found like this.
925:5x 5x 37
615:3x 5x 41
737:11x 67
905:5x 181
759:3x 11x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 5x 11 = 825
Therefore, the value for common factors is 825.
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 = 287988198733125/(1x825)
LCM = 287988198733125/825
LCM = 349076604525
Thus, we can understand that the LCM of 925,615,737,905,759 is 349076604525.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 925, 615, 737, 905, 759
1. What is the LCM of 925, 615, 737, 905, 759?
Answer: LCM of 925, 615, 737, 905, 759 is 349076604525.
2. How to calculate the LCM of 925, 615, 737, 905, 759?
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 925, 615, 737, 905, 759.
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}.