LCM of 879, 440, 646, 300, 554
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 879, 440, 646, 300, 554 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 879, 440, 646, 300, 554. So, keep reading to learn more.
Given numbers are 879,440,646,300,554
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 879,440,646,300,554 is 173019019800.
Find LCM of 879,440,646,300,554 with Prime Factorization
| 2 | 879, 440, 646, 300, 554 |
| 2 | 879, 220, 323, 150, 277 |
| 3 | 879, 110, 323, 75, 277 |
| 5 | 293, 110, 323, 25, 277 |
| 293, 22, 323, 5, 277 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 293 x 22 x 323 x 5 x 277 = 173019019800
Therefore, the lowest common multiple of 879,440,646,300,554 is 173019019800.
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.
879 x 440 x 646 x 300 x 554 = 41524564752000
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.
879 : 1, 3, 293, 879
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
646 : 1, 2, 17, 19, 34, 38, 323, 646
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
554 : 1, 2, 277, 554
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 879,440,646,300,554, is 1.
Now, the common factors can be found like this.
879:3x 293
440:2x 2x 2x 5x 11
646:2x 17x 19
300:2x 2x 3x 5x 5
554:2x 277
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 = 41524564752000/(1x240)
LCM = 41524564752000/240
LCM = 173019019800
Thus, we can understand that the LCM of 879,440,646,300,554 is 173019019800.
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FAQs on LCM of 879, 440, 646, 300, 554
1. What is the LCM of 879, 440, 646, 300, 554?
Answer: LCM of 879, 440, 646, 300, 554 is 173019019800.
2. How to calculate the LCM of 879, 440, 646, 300, 554?
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 879, 440, 646, 300, 554.
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}.