LCM of 936, 851, 734, 507, 615
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 936, 851, 734, 507, 615 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 936, 851, 734, 507, 615. So, keep reading to learn more.
Given numbers are 936,851,734,507,615
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 936,851,734,507,615 is 779056017480.
Find LCM of 936,851,734,507,615 with Prime Factorization
| 2 | 936, 851, 734, 507, 615 |
| 3 | 468, 851, 367, 507, 615 |
| 13 | 156, 851, 367, 169, 205 |
| 12, 851, 367, 13, 205 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 12 x 851 x 367 x 13 x 205 = 779056017480
Therefore, the lowest common multiple of 936,851,734,507,615 is 779056017480.
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.
936 x 851 x 734 x 507 x 615 = 182299108090320
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.
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
851 : 1, 23, 37, 851
734 : 1, 2, 367, 734
507 : 1, 3, 13, 39, 169, 507
615 : 1, 3, 5, 15, 41, 123, 205, 615
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 936,851,734,507,615, is 1.
Now, the common factors can be found like this.
936:2x 2x 2x 3x 3x 13
851:23x 37
734:2x 367
507:3x 13x 13
615:3x 5x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 13 = 234
Therefore, the value for common factors is 234.
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 = 182299108090320/(1x234)
LCM = 182299108090320/234
LCM = 779056017480
Thus, we can understand that the LCM of 936,851,734,507,615 is 779056017480.
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FAQs on LCM of 936, 851, 734, 507, 615
1. What is the LCM of 936, 851, 734, 507, 615?
Answer: LCM of 936, 851, 734, 507, 615 is 779056017480.
2. How to calculate the LCM of 936, 851, 734, 507, 615?
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 936, 851, 734, 507, 615.
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}.