LCM of 274, 528, 962, 414, 230
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 274, 528, 962, 414, 230 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 274, 528, 962, 414, 230. So, keep reading to learn more.
Given numbers are 274,528,962,414,230
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 274,528,962,414,230 is 12003797520.
Find LCM of 274,528,962,414,230 with Prime Factorization
| 2 | 274, 528, 962, 414, 230 |
| 3 | 137, 264, 481, 207, 115 |
| 23 | 137, 88, 481, 69, 115 |
| 137, 88, 481, 3, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 137 x 88 x 481 x 3 x 5 = 12003797520
Therefore, the lowest common multiple of 274,528,962,414,230 is 12003797520.
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.
274 x 528 x 962 x 414 x 230 = 13252192462080
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.
274 : 1, 2, 137, 274
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
962 : 1, 2, 13, 26, 37, 74, 481, 962
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
230 : 1, 2, 5, 10, 23, 46, 115, 230
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 274,528,962,414,230, is 2.
Now, the common factors can be found like this.
274:2x 137
528:2x 2x 2x 2x 3x 11
962:2x 13x 37
414:2x 3x 3x 23
230:2x 5x 23
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 23 = 552
Therefore, the value for common factors is 552.
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 = 13252192462080/(2x552)
LCM = 13252192462080/1104
LCM = 12003797520
Thus, we can understand that the LCM of 274,528,962,414,230 is 12003797520.
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FAQs on LCM of 274, 528, 962, 414, 230
1. What is the LCM of 274, 528, 962, 414, 230?
Answer: LCM of 274, 528, 962, 414, 230 is 12003797520.
2. How to calculate the LCM of 274, 528, 962, 414, 230?
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 274, 528, 962, 414, 230.
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}.