LCM of 660, 751, 349, 978, 821
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 660, 751, 349, 978, 821 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 660, 751, 349, 978, 821. So, keep reading to learn more.
Given numbers are 660,751,349,978,821
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 660,751,349,978,821 is 23149417154820.
Find LCM of 660,751,349,978,821 with Prime Factorization
| 2 | 660, 751, 349, 978, 821 |
| 3 | 330, 751, 349, 489, 821 |
| 110, 751, 349, 163, 821 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 110 x 751 x 349 x 163 x 821 = 23149417154820
Therefore, the lowest common multiple of 660,751,349,978,821 is 23149417154820.
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.
660 x 751 x 349 x 978 x 821 = 138896502928920
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.
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
751 : 1, 751
349 : 1, 349
978 : 1, 2, 3, 6, 163, 326, 489, 978
821 : 1, 821
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 660,751,349,978,821, is 1.
Now, the common factors can be found like this.
660:2x 2x 3x 5x 11
751:751
349:349
978:2x 3x 163
821:821
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 138896502928920/(1x6)
LCM = 138896502928920/6
LCM = 23149417154820
Thus, we can understand that the LCM of 660,751,349,978,821 is 23149417154820.
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FAQs on LCM of 660, 751, 349, 978, 821
1. What is the LCM of 660, 751, 349, 978, 821?
Answer: LCM of 660, 751, 349, 978, 821 is 23149417154820.
2. How to calculate the LCM of 660, 751, 349, 978, 821?
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 660, 751, 349, 978, 821.
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}.