LCM of 510, 276, 378, 724, 697
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 510, 276, 378, 724, 697 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 510, 276, 378, 724, 697. So, keep reading to learn more.
Given numbers are 510,276,378,724,697
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 510,276,378,724,697 is 10968089580.
Find LCM of 510,276,378,724,697 with Prime Factorization
| 2 | 510, 276, 378, 724, 697 |
| 2 | 255, 138, 189, 362, 697 |
| 3 | 255, 69, 189, 181, 697 |
| 17 | 85, 23, 63, 181, 697 |
| 5, 23, 63, 181, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 17 x 5 x 23 x 63 x 181 x 41 = 10968089580
Therefore, the lowest common multiple of 510,276,378,724,697 is 10968089580.
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.
510 x 276 x 378 x 724 x 697 = 26849883291840
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.
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
724 : 1, 2, 4, 181, 362, 724
697 : 1, 17, 41, 697
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 510,276,378,724,697, is 1.
Now, the common factors can be found like this.
510:2x 3x 5x 17
276:2x 2x 3x 23
378:2x 3x 3x 3x 7
724:2x 2x 181
697:17x 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 2x 2x 3x 3x 17 = 2448
Therefore, the value for common factors is 2448.
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 = 26849883291840/(1x2448)
LCM = 26849883291840/2448
LCM = 10968089580
Thus, we can understand that the LCM of 510,276,378,724,697 is 10968089580.
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FAQs on LCM of 510, 276, 378, 724, 697
1. What is the LCM of 510, 276, 378, 724, 697?
Answer: LCM of 510, 276, 378, 724, 697 is 10968089580.
2. How to calculate the LCM of 510, 276, 378, 724, 697?
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 510, 276, 378, 724, 697.
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}.