LCM of 892, 690, 600, 507, 279
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 892, 690, 600, 507, 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 892, 690, 600, 507, 279. So, keep reading to learn more.
Given numbers are 892,690,600,507,279
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 892,690,600,507,279 is 48367495800.
Find LCM of 892,690,600,507,279 with Prime Factorization
| 2 | 892, 690, 600, 507, 279 |
| 2 | 446, 345, 300, 507, 279 |
| 3 | 223, 345, 150, 507, 279 |
| 5 | 223, 115, 50, 169, 93 |
| 223, 23, 10, 169, 93 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 223 x 23 x 10 x 169 x 93 = 48367495800
Therefore, the lowest common multiple of 892,690,600,507,279 is 48367495800.
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.
892 x 690 x 600 x 507 x 279 = 52236895464000
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.
892 : 1, 2, 4, 223, 446, 892
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
507 : 1, 3, 13, 39, 169, 507
279 : 1, 3, 9, 31, 93, 279
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 892,690,600,507,279, is 1.
Now, the common factors can be found like this.
892:2x 2x 223
690:2x 3x 5x 23
600:2x 2x 2x 3x 5x 5
507:3x 13x 13
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 2x 2x 3x 3x 3x 5 = 1080
Therefore, the value for common factors is 1080.
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 = 52236895464000/(1x1080)
LCM = 52236895464000/1080
LCM = 48367495800
Thus, we can understand that the LCM of 892,690,600,507,279 is 48367495800.
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FAQs on LCM of 892, 690, 600, 507, 279
1. What is the LCM of 892, 690, 600, 507, 279?
Answer: LCM of 892, 690, 600, 507, 279 is 48367495800.
2. How to calculate the LCM of 892, 690, 600, 507, 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 892, 690, 600, 507, 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}.