LCM of 476, 406, 513, 880, 716
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 476, 406, 513, 880, 716 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 476, 406, 513, 880, 716. So, keep reading to learn more.
Given numbers are 476,406,513,880,716
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 476,406,513,880,716 is 278867579760.
Find LCM of 476,406,513,880,716 with Prime Factorization
| 2 | 476, 406, 513, 880, 716 |
| 2 | 238, 203, 513, 440, 358 |
| 7 | 119, 203, 513, 220, 179 |
| 17, 29, 513, 220, 179 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 17 x 29 x 513 x 220 x 179 = 278867579760
Therefore, the lowest common multiple of 476,406,513,880,716 is 278867579760.
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.
476 x 406 x 513 x 880 x 716 = 62466337866240
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.
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
406 : 1, 2, 7, 14, 29, 58, 203, 406
513 : 1, 3, 9, 19, 27, 57, 171, 513
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
716 : 1, 2, 4, 179, 358, 716
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 476,406,513,880,716, is 1.
Now, the common factors can be found like this.
476:2x 2x 7x 17
406:2x 7x 29
513:3x 3x 3x 19
880:2x 2x 2x 2x 5x 11
716:2x 2x 179
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 2x 2x 7 = 224
Therefore, the value for common factors is 224.
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 = 62466337866240/(1x224)
LCM = 62466337866240/224
LCM = 278867579760
Thus, we can understand that the LCM of 476,406,513,880,716 is 278867579760.
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FAQs on LCM of 476, 406, 513, 880, 716
1. What is the LCM of 476, 406, 513, 880, 716?
Answer: LCM of 476, 406, 513, 880, 716 is 278867579760.
2. How to calculate the LCM of 476, 406, 513, 880, 716?
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 476, 406, 513, 880, 716.
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}.