LCM of 840, 591, 524, 476
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 840, 591, 524, 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 840, 591, 524, 476. So, keep reading to learn more.
Given numbers are 840,591,524,476
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 840,591,524,476 is 368523960.
Find LCM of 840,591,524,476 with Prime Factorization
| 2 | 840, 591, 524, 476 |
| 2 | 420, 591, 262, 238 |
| 3 | 210, 591, 131, 119 |
| 7 | 70, 197, 131, 119 |
| 10, 197, 131, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 10 x 197 x 131 x 17 = 368523960
Therefore, the lowest common multiple of 840,591,524,476 is 368523960.
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.
840 x 591 x 524 x 476 = 123824050560
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.
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
591 : 1, 3, 197, 591
524 : 1, 2, 4, 131, 262, 524
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 840,591,524,476, is 1.
Now, the common factors can be found like this.
840:2x 2x 2x 3x 5x 7
591:3x 197
524:2x 2x 131
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 3x 7 = 336
Therefore, the value for common factors is 336.
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 = 123824050560/(1x336)
LCM = 123824050560/336
LCM = 368523960
Thus, we can understand that the LCM of 840,591,524,476 is 368523960.
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FAQs on LCM of 840, 591, 524, 476
1. What is the LCM of 840, 591, 524, 476?
Answer: LCM of 840, 591, 524, 476 is 368523960.
2. How to calculate the LCM of 840, 591, 524, 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 840, 591, 524, 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}.