LCM of 815, 735, 392, 973, 526
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 815, 735, 392, 973, 526 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 815, 735, 392, 973, 526. So, keep reading to learn more.
Given numbers are 815,735,392,973,526
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 815,735,392,973,526 is 35037691080.
Find LCM of 815,735,392,973,526 with Prime Factorization
| 2 | 815, 735, 392, 973, 526 |
| 5 | 815, 735, 196, 973, 263 |
| 7 | 163, 147, 196, 973, 263 |
| 7 | 163, 21, 28, 139, 263 |
| 163, 3, 4, 139, 263 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 7 x 163 x 3 x 4 x 139 x 263 = 35037691080
Therefore, the lowest common multiple of 815,735,392,973,526 is 35037691080.
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.
815 x 735 x 392 x 973 x 526 = 120179280404400
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.
815 : 1, 5, 163, 815
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
973 : 1, 7, 139, 973
526 : 1, 2, 263, 526
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 815,735,392,973,526, is 1.
Now, the common factors can be found like this.
815:5x 163
735:3x 5x 7x 7
392:2x 2x 2x 7x 7
973:7x 139
526:2x 263
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 7x 7x 7 = 3430
Therefore, the value for common factors is 3430.
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 = 120179280404400/(1x3430)
LCM = 120179280404400/3430
LCM = 35037691080
Thus, we can understand that the LCM of 815,735,392,973,526 is 35037691080.
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FAQs on LCM of 815, 735, 392, 973, 526
1. What is the LCM of 815, 735, 392, 973, 526?
Answer: LCM of 815, 735, 392, 973, 526 is 35037691080.
2. How to calculate the LCM of 815, 735, 392, 973, 526?
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 815, 735, 392, 973, 526.
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}.