LCM of 821, 660, 980, 312
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 821, 660, 980, 312 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 821, 660, 980, 312. So, keep reading to learn more.
Given numbers are 821,660,980,312
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 821,660,980,312 is 690329640.
Find LCM of 821,660,980,312 with Prime Factorization
| 2 | 821, 660, 980, 312 |
| 2 | 821, 330, 490, 156 |
| 3 | 821, 165, 245, 78 |
| 5 | 821, 55, 245, 26 |
| 821, 11, 49, 26 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 821 x 11 x 49 x 26 = 690329640
Therefore, the lowest common multiple of 821,660,980,312 is 690329640.
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.
821 x 660 x 980 x 312 = 165679113600
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.
821 : 1, 821
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
980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 821,660,980,312, is 1.
Now, the common factors can be found like this.
821:821
660:2x 2x 3x 5x 11
980:2x 2x 5x 7x 7
312:2x 2x 2x 3x 13
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 = 165679113600/(1x240)
LCM = 165679113600/240
LCM = 690329640
Thus, we can understand that the LCM of 821,660,980,312 is 690329640.
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FAQs on LCM of 821, 660, 980, 312
1. What is the LCM of 821, 660, 980, 312?
Answer: LCM of 821, 660, 980, 312 is 690329640.
2. How to calculate the LCM of 821, 660, 980, 312?
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 821, 660, 980, 312.
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}.