LCM of 596, 754, 931, 780, 627
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 596, 754, 931, 780, 627 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 596, 754, 931, 780, 627. So, keep reading to learn more.
Given numbers are 596,754,931,780,627
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 596,754,931,780,627 is 34516061580.
Find LCM of 596,754,931,780,627 with Prime Factorization
| 2 | 596, 754, 931, 780, 627 |
| 2 | 298, 377, 931, 390, 627 |
| 3 | 149, 377, 931, 195, 627 |
| 13 | 149, 377, 931, 65, 209 |
| 19 | 149, 29, 931, 5, 209 |
| 149, 29, 49, 5, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 19 x 149 x 29 x 49 x 5 x 11 = 34516061580
Therefore, the lowest common multiple of 596,754,931,780,627 is 34516061580.
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.
596 x 754 x 931 x 780 x 627 = 204611213046240
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.
596 : 1, 2, 4, 149, 298, 596
754 : 1, 2, 13, 26, 29, 58, 377, 754
931 : 1, 7, 19, 49, 133, 931
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
627 : 1, 3, 11, 19, 33, 57, 209, 627
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 596,754,931,780,627, is 1.
Now, the common factors can be found like this.
596:2x 2x 149
754:2x 13x 29
931:7x 7x 19
780:2x 2x 3x 5x 13
627:3x 11x 19
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 2x 3x 13x 19 = 5928
Therefore, the value for common factors is 5928.
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 = 204611213046240/(1x5928)
LCM = 204611213046240/5928
LCM = 34516061580
Thus, we can understand that the LCM of 596,754,931,780,627 is 34516061580.
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FAQs on LCM of 596, 754, 931, 780, 627
1. What is the LCM of 596, 754, 931, 780, 627?
Answer: LCM of 596, 754, 931, 780, 627 is 34516061580.
2. How to calculate the LCM of 596, 754, 931, 780, 627?
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 596, 754, 931, 780, 627.
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}.