LCM of 599, 248, 780, 713, 476
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 599, 248, 780, 713, 476 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 599, 248, 780, 713, 476. So, keep reading to learn more.
Given numbers are 599,248,780,713,476
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 599,248,780,713,476 is 79284430680.
Find LCM of 599,248,780,713,476 with Prime Factorization
| 2 | 599, 248, 780, 713, 476 |
| 2 | 599, 124, 390, 713, 238 |
| 31 | 599, 62, 195, 713, 119 |
| 599, 2, 195, 23, 119 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 31 x 599 x 2 x 195 x 23 x 119 = 79284430680
Therefore, the lowest common multiple of 599,248,780,713,476 is 79284430680.
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.
599 x 248 x 780 x 713 x 476 = 39325077617280
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.
599 : 1, 599
248 : 1, 2, 4, 8, 31, 62, 124, 248
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
713 : 1, 23, 31, 713
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 599,248,780,713,476, is 1.
Now, the common factors can be found like this.
599:599
248:2x 2x 2x 31
780:2x 2x 3x 5x 13
713:23x 31
476:2x 2x 7x 17
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 31 = 496
Therefore, the value for common factors is 496.
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 = 39325077617280/(1x496)
LCM = 39325077617280/496
LCM = 79284430680
Thus, we can understand that the LCM of 599,248,780,713,476 is 79284430680.
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FAQs on LCM of 599, 248, 780, 713, 476
1. What is the LCM of 599, 248, 780, 713, 476?
Answer: LCM of 599, 248, 780, 713, 476 is 79284430680.
2. How to calculate the LCM of 599, 248, 780, 713, 476?
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 599, 248, 780, 713, 476.
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}.