LCM of 760, 551, 416, 269, 877
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 760, 551, 416, 269, 877 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 760, 551, 416, 269, 877. So, keep reading to learn more.
Given numbers are 760,551,416,269,877
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 760,551,416,269,877 is 270375171040.
Find LCM of 760,551,416,269,877 with Prime Factorization
| 2 | 760, 551, 416, 269, 877 |
| 2 | 380, 551, 208, 269, 877 |
| 2 | 190, 551, 104, 269, 877 |
| 19 | 95, 551, 52, 269, 877 |
| 5, 29, 52, 269, 877 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 19 x 5 x 29 x 52 x 269 x 877 = 270375171040
Therefore, the lowest common multiple of 760,551,416,269,877 is 270375171040.
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.
760 x 551 x 416 x 269 x 877 = 41097025998080
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.
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
551 : 1, 19, 29, 551
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
269 : 1, 269
877 : 1, 877
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 760,551,416,269,877, is 1.
Now, the common factors can be found like this.
760:2x 2x 2x 5x 19
551:19x 29
416:2x 2x 2x 2x 2x 13
269:269
877:877
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 19 = 152
Therefore, the value for common factors is 152.
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 = 41097025998080/(1x152)
LCM = 41097025998080/152
LCM = 270375171040
Thus, we can understand that the LCM of 760,551,416,269,877 is 270375171040.
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FAQs on LCM of 760, 551, 416, 269, 877
1. What is the LCM of 760, 551, 416, 269, 877?
Answer: LCM of 760, 551, 416, 269, 877 is 270375171040.
2. How to calculate the LCM of 760, 551, 416, 269, 877?
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 760, 551, 416, 269, 877.
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}.