LCM of 762, 638, 150, 215, 454
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 762, 638, 150, 215, 454 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 762, 638, 150, 215, 454. So, keep reading to learn more.
Given numbers are 762,638,150,215,454
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 762,638,150,215,454 is 59317108950.
Find LCM of 762,638,150,215,454 with Prime Factorization
| 2 | 762, 638, 150, 215, 454 |
| 3 | 381, 319, 75, 215, 227 |
| 5 | 127, 319, 25, 215, 227 |
| 127, 319, 5, 43, 227 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 127 x 319 x 5 x 43 x 227 = 59317108950
Therefore, the lowest common multiple of 762,638,150,215,454 is 59317108950.
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.
762 x 638 x 150 x 215 x 454 = 7118053074000
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.
762 : 1, 2, 3, 6, 127, 254, 381, 762
638 : 1, 2, 11, 22, 29, 58, 319, 638
150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
215 : 1, 5, 43, 215
454 : 1, 2, 227, 454
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 762,638,150,215,454, is 1.
Now, the common factors can be found like this.
762:2x 3x 127
638:2x 11x 29
150:2x 3x 5x 5
215:5x 43
454:2x 227
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 5 = 120
Therefore, the value for common factors is 120.
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 = 7118053074000/(1x120)
LCM = 7118053074000/120
LCM = 59317108950
Thus, we can understand that the LCM of 762,638,150,215,454 is 59317108950.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 762, 638, 150, 215, 454
1. What is the LCM of 762, 638, 150, 215, 454?
Answer: LCM of 762, 638, 150, 215, 454 is 59317108950.
2. How to calculate the LCM of 762, 638, 150, 215, 454?
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 762, 638, 150, 215, 454.
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}.