LCM of 264, 510, 724, 765, 387
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 264, 510, 724, 765, 387 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 264, 510, 724, 765, 387. So, keep reading to learn more.
Given numbers are 264,510,724,765,387
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 264,510,724,765,387 is 523951560.
Find LCM of 264,510,724,765,387 with Prime Factorization
| 2 | 264, 510, 724, 765, 387 |
| 2 | 132, 255, 362, 765, 387 |
| 3 | 66, 255, 181, 765, 387 |
| 3 | 22, 85, 181, 255, 129 |
| 5 | 22, 85, 181, 85, 43 |
| 17 | 22, 17, 181, 17, 43 |
| 22, 1, 181, 1, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 17 x 22 x 1 x 181 x 1 x 43 = 523951560
Therefore, the lowest common multiple of 264,510,724,765,387 is 523951560.
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.
264 x 510 x 724 x 765 x 387 = 28859251924800
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.
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
724 : 1, 2, 4, 181, 362, 724
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
387 : 1, 3, 9, 43, 129, 387
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 264,510,724,765,387, is 1.
Now, the common factors can be found like this.
264:2x 2x 2x 3x 11
510:2x 3x 5x 17
724:2x 2x 181
765:3x 3x 5x 17
387:3x 3x 43
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 3x 3x 3x 5x 17 = 55080
Therefore, the value for common factors is 55080.
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 = 28859251924800/(1x55080)
LCM = 28859251924800/55080
LCM = 523951560
Thus, we can understand that the LCM of 264,510,724,765,387 is 523951560.
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FAQs on LCM of 264, 510, 724, 765, 387
1. What is the LCM of 264, 510, 724, 765, 387?
Answer: LCM of 264, 510, 724, 765, 387 is 523951560.
2. How to calculate the LCM of 264, 510, 724, 765, 387?
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 264, 510, 724, 765, 387.
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}.