LCM of 807, 309, 506, 456, 620
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 807, 309, 506, 456, 620 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 807, 309, 506, 456, 620. So, keep reading to learn more.
Given numbers are 807,309,506,456,620
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 807,309,506,456,620 is 495457682280.
Find LCM of 807,309,506,456,620 with Prime Factorization
| 2 | 807, 309, 506, 456, 620 |
| 2 | 807, 309, 253, 228, 310 |
| 3 | 807, 309, 253, 114, 155 |
| 269, 103, 253, 38, 155 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 269 x 103 x 253 x 38 x 155 = 495457682280
Therefore, the lowest common multiple of 807,309,506,456,620 is 495457682280.
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.
807 x 309 x 506 x 456 x 620 = 35672953124160
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.
807 : 1, 3, 269, 807
309 : 1, 3, 103, 309
506 : 1, 2, 11, 22, 23, 46, 253, 506
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 807,309,506,456,620, is 1.
Now, the common factors can be found like this.
807:3x 269
309:3x 103
506:2x 11x 23
456:2x 2x 2x 3x 19
620:2x 2x 5x 31
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 3 = 72
Therefore, the value for common factors is 72.
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 = 35672953124160/(1x72)
LCM = 35672953124160/72
LCM = 495457682280
Thus, we can understand that the LCM of 807,309,506,456,620 is 495457682280.
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FAQs on LCM of 807, 309, 506, 456, 620
1. What is the LCM of 807, 309, 506, 456, 620?
Answer: LCM of 807, 309, 506, 456, 620 is 495457682280.
2. How to calculate the LCM of 807, 309, 506, 456, 620?
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 807, 309, 506, 456, 620.
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}.