LCM of 814, 962, 754, 596, 278
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 814, 962, 754, 596, 278 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 814, 962, 754, 596, 278. So, keep reading to learn more.
Given numbers are 814,962,754,596,278
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 814,962,754,596,278 is 12711500516.
Find LCM of 814,962,754,596,278 with Prime Factorization
| 2 | 814, 962, 754, 596, 278 |
| 13 | 407, 481, 377, 298, 139 |
| 37 | 407, 37, 29, 298, 139 |
| 11, 1, 29, 298, 139 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 37 x 11 x 1 x 29 x 298 x 139 = 12711500516
Therefore, the lowest common multiple of 814,962,754,596,278 is 12711500516.
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.
814 x 962 x 754 x 596 x 278 = 97827707971136
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.
814 : 1, 2, 11, 22, 37, 74, 407, 814
962 : 1, 2, 13, 26, 37, 74, 481, 962
754 : 1, 2, 13, 26, 29, 58, 377, 754
596 : 1, 2, 4, 149, 298, 596
278 : 1, 2, 139, 278
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,962,754,596,278, is 2.
Now, the common factors can be found like this.
814:2x 11x 37
962:2x 13x 37
754:2x 13x 29
596:2x 2x 149
278:2x 139
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 13x 37 = 3848
Therefore, the value for common factors is 3848.
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 = 97827707971136/(2x3848)
LCM = 97827707971136/7696
LCM = 12711500516
Thus, we can understand that the LCM of 814,962,754,596,278 is 12711500516.
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FAQs on LCM of 814, 962, 754, 596, 278
1. What is the LCM of 814, 962, 754, 596, 278?
Answer: LCM of 814, 962, 754, 596, 278 is 12711500516.
2. How to calculate the LCM of 814, 962, 754, 596, 278?
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 814, 962, 754, 596, 278.
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}.