LCM of 613, 510, 523, 532, 738
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 613, 510, 523, 532, 738 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 613, 510, 523, 532, 738. So, keep reading to learn more.
Given numbers are 613,510,523,532,738
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 613,510,523,532,738 is 5349572621820.
Find LCM of 613,510,523,532,738 with Prime Factorization
| 2 | 613, 510, 523, 532, 738 |
| 3 | 613, 255, 523, 266, 369 |
| 613, 85, 523, 266, 123 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 613 x 85 x 523 x 266 x 123 = 5349572621820
Therefore, the lowest common multiple of 613,510,523,532,738 is 5349572621820.
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.
613 x 510 x 523 x 532 x 738 = 64194871461840
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.
613 : 1, 613
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
523 : 1, 523
532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 613,510,523,532,738, is 1.
Now, the common factors can be found like this.
613:613
510:2x 3x 5x 17
523:523
532:2x 2x 7x 19
738:2x 3x 3x 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 2x 3 = 12
Therefore, the value for common factors is 12.
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 = 64194871461840/(1x12)
LCM = 64194871461840/12
LCM = 5349572621820
Thus, we can understand that the LCM of 613,510,523,532,738 is 5349572621820.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 613, 510, 523, 532, 738
1. What is the LCM of 613, 510, 523, 532, 738?
Answer: LCM of 613, 510, 523, 532, 738 is 5349572621820.
2. How to calculate the LCM of 613, 510, 523, 532, 738?
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 613, 510, 523, 532, 738.
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}.