LCM of 662, 365, 420, 312, 807
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 662, 365, 420, 312, 807 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 662, 365, 420, 312, 807. So, keep reading to learn more.
Given numbers are 662,365,420,312,807
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 662,365,420,312,807 is 70978329240.
Find LCM of 662,365,420,312,807 with Prime Factorization
| 2 | 662, 365, 420, 312, 807 |
| 2 | 331, 365, 210, 156, 807 |
| 3 | 331, 365, 105, 78, 807 |
| 5 | 331, 365, 35, 26, 269 |
| 331, 73, 7, 26, 269 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 331 x 73 x 7 x 26 x 269 = 70978329240
Therefore, the lowest common multiple of 662,365,420,312,807 is 70978329240.
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.
662 x 365 x 420 x 312 x 807 = 25552198526400
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.
662 : 1, 2, 331, 662
365 : 1, 5, 73, 365
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
807 : 1, 3, 269, 807
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 662,365,420,312,807, is 1.
Now, the common factors can be found like this.
662:2x 331
365:5x 73
420:2x 2x 3x 5x 7
312:2x 2x 2x 3x 13
807:3x 269
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 3x 5 = 360
Therefore, the value for common factors is 360.
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 = 25552198526400/(1x360)
LCM = 25552198526400/360
LCM = 70978329240
Thus, we can understand that the LCM of 662,365,420,312,807 is 70978329240.
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FAQs on LCM of 662, 365, 420, 312, 807
1. What is the LCM of 662, 365, 420, 312, 807?
Answer: LCM of 662, 365, 420, 312, 807 is 70978329240.
2. How to calculate the LCM of 662, 365, 420, 312, 807?
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 662, 365, 420, 312, 807.
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}.