LCM of 534, 796, 700, 892, 525
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 534, 796, 700, 892, 525 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 534, 796, 700, 892, 525. So, keep reading to learn more.
Given numbers are 534,796,700,892,525
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 534,796,700,892,525 is 8294061300.
Find LCM of 534,796,700,892,525 with Prime Factorization
| 2 | 534, 796, 700, 892, 525 |
| 2 | 267, 398, 350, 446, 525 |
| 3 | 267, 199, 175, 223, 525 |
| 5 | 89, 199, 175, 223, 175 |
| 5 | 89, 199, 35, 223, 35 |
| 7 | 89, 199, 7, 223, 7 |
| 89, 199, 1, 223, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 5 x 7 x 89 x 199 x 1 x 223 x 1 = 8294061300
Therefore, the lowest common multiple of 534,796,700,892,525 is 8294061300.
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.
534 x 796 x 700 x 892 x 525 = 139340229840000
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.
534 : 1, 2, 3, 6, 89, 178, 267, 534
796 : 1, 2, 4, 199, 398, 796
700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
892 : 1, 2, 4, 223, 446, 892
525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 534,796,700,892,525, is 1.
Now, the common factors can be found like this.
534:2x 3x 89
796:2x 2x 199
700:2x 2x 5x 5x 7
892:2x 2x 223
525:3x 5x 5x 7
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 2x 3x 5x 5x 7 = 16800
Therefore, the value for common factors is 16800.
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 = 139340229840000/(1x16800)
LCM = 139340229840000/16800
LCM = 8294061300
Thus, we can understand that the LCM of 534,796,700,892,525 is 8294061300.
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FAQs on LCM of 534, 796, 700, 892, 525
1. What is the LCM of 534, 796, 700, 892, 525?
Answer: LCM of 534, 796, 700, 892, 525 is 8294061300.
2. How to calculate the LCM of 534, 796, 700, 892, 525?
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 534, 796, 700, 892, 525.
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}.