LCM of 639, 872, 303, 440, 670
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 639, 872, 303, 440, 670 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 639, 872, 303, 440, 670. So, keep reading to learn more.
Given numbers are 639,872,303,440,670
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 639,872,303,440,670 is 207384459480.
Find LCM of 639,872,303,440,670 with Prime Factorization
| 2 | 639, 872, 303, 440, 670 |
| 2 | 639, 436, 303, 220, 335 |
| 2 | 639, 218, 303, 110, 335 |
| 3 | 639, 109, 303, 55, 335 |
| 5 | 213, 109, 101, 55, 335 |
| 213, 109, 101, 11, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 213 x 109 x 101 x 11 x 67 = 207384459480
Therefore, the lowest common multiple of 639,872,303,440,670 is 207384459480.
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.
639 x 872 x 303 x 440 x 670 = 49772270275200
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.
639 : 1, 3, 9, 71, 213, 639
872 : 1, 2, 4, 8, 109, 218, 436, 872
303 : 1, 3, 101, 303
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
670 : 1, 2, 5, 10, 67, 134, 335, 670
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 639,872,303,440,670, is 1.
Now, the common factors can be found like this.
639:3x 3x 71
872:2x 2x 2x 109
303:3x 101
440:2x 2x 2x 5x 11
670:2x 5x 67
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 5 = 240
Therefore, the value for common factors is 240.
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 = 49772270275200/(1x240)
LCM = 49772270275200/240
LCM = 207384459480
Thus, we can understand that the LCM of 639,872,303,440,670 is 207384459480.
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FAQs on LCM of 639, 872, 303, 440, 670
1. What is the LCM of 639, 872, 303, 440, 670?
Answer: LCM of 639, 872, 303, 440, 670 is 207384459480.
2. How to calculate the LCM of 639, 872, 303, 440, 670?
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 639, 872, 303, 440, 670.
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}.