LCM of 932, 675, 507, 987, 780
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 932, 675, 507, 987, 780 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 932, 675, 507, 987, 780. So, keep reading to learn more.
Given numbers are 932,675,507,987,780
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 932,675,507,987,780 is 34978589100.
Find LCM of 932,675,507,987,780 with Prime Factorization
| 2 | 932, 675, 507, 987, 780 |
| 2 | 466, 675, 507, 987, 390 |
| 3 | 233, 675, 507, 987, 195 |
| 5 | 233, 225, 169, 329, 65 |
| 13 | 233, 45, 169, 329, 13 |
| 233, 45, 1, 329, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 13 x 233 x 45 x 1 x 329 x 13 = 34978589100
Therefore, the lowest common multiple of 932,675,507,987,780 is 34978589100.
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.
932 x 675 x 507 x 987 x 780 = 245549695482000
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.
932 : 1, 2, 4, 233, 466, 932
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
507 : 1, 3, 13, 39, 169, 507
987 : 1, 3, 7, 21, 47, 141, 329, 987
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 932,675,507,987,780, is 1.
Now, the common factors can be found like this.
932:2x 2x 233
675:3x 3x 3x 5x 5
507:3x 13x 13
987:3x 7x 47
780:2x 2x 3x 5x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 3x 3x 5x 13 = 7020
Therefore, the value for common factors is 7020.
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 = 245549695482000/(1x7020)
LCM = 245549695482000/7020
LCM = 34978589100
Thus, we can understand that the LCM of 932,675,507,987,780 is 34978589100.
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FAQs on LCM of 932, 675, 507, 987, 780
1. What is the LCM of 932, 675, 507, 987, 780?
Answer: LCM of 932, 675, 507, 987, 780 is 34978589100.
2. How to calculate the LCM of 932, 675, 507, 987, 780?
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 932, 675, 507, 987, 780.
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}.