LCM of 762, 927, 660, 315, 279
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 762, 927, 660, 315, 279 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 762, 927, 660, 315, 279. So, keep reading to learn more.
Given numbers are 762,927,660,315,279
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 762,927,660,315,279 is 5620382460.
Find LCM of 762,927,660,315,279 with Prime Factorization
| 2 | 762, 927, 660, 315, 279 |
| 3 | 381, 927, 330, 315, 279 |
| 3 | 127, 309, 110, 105, 93 |
| 5 | 127, 103, 110, 35, 31 |
| 127, 103, 22, 7, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 127 x 103 x 22 x 7 x 31 = 5620382460
Therefore, the lowest common multiple of 762,927,660,315,279 is 5620382460.
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.
762 x 927 x 660 x 315 x 279 = 40972588133400
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.
762 : 1, 2, 3, 6, 127, 254, 381, 762
927 : 1, 3, 9, 103, 309, 927
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
279 : 1, 3, 9, 31, 93, 279
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 762,927,660,315,279, is 3.
Now, the common factors can be found like this.
762:2x 3x 127
927:3x 3x 103
660:2x 2x 3x 5x 11
315:3x 3x 5x 7
279:3x 3x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 3x 3x 5 = 2430
Therefore, the value for common factors is 2430.
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 = 40972588133400/(3x2430)
LCM = 40972588133400/7290
LCM = 5620382460
Thus, we can understand that the LCM of 762,927,660,315,279 is 5620382460.
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FAQs on LCM of 762, 927, 660, 315, 279
1. What is the LCM of 762, 927, 660, 315, 279?
Answer: LCM of 762, 927, 660, 315, 279 is 5620382460.
2. How to calculate the LCM of 762, 927, 660, 315, 279?
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 762, 927, 660, 315, 279.
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}.