LCM of 242, 886, 847, 277, 564
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 242, 886, 847, 277, 564 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 242, 886, 847, 277, 564. So, keep reading to learn more.
Given numbers are 242,886,847,277,564
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 242,886,847,277,564 is 58620026388.
Find LCM of 242,886,847,277,564 with Prime Factorization
| 2 | 242, 886, 847, 277, 564 |
| 11 | 121, 443, 847, 277, 282 |
| 11 | 11, 443, 77, 277, 282 |
| 1, 443, 7, 277, 282 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 11 x 1 x 443 x 7 x 277 x 282 = 58620026388
Therefore, the lowest common multiple of 242,886,847,277,564 is 58620026388.
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.
242 x 886 x 847 x 277 x 564 = 28372092771792
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.
242 : 1, 2, 11, 22, 121, 242
886 : 1, 2, 443, 886
847 : 1, 7, 11, 77, 121, 847
277 : 1, 277
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 242,886,847,277,564, is 1.
Now, the common factors can be found like this.
242:2x 11x 11
886:2x 443
847:7x 11x 11
277:277
564:2x 2x 3x 47
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 11x 11 = 484
Therefore, the value for common factors is 484.
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 = 28372092771792/(1x484)
LCM = 28372092771792/484
LCM = 58620026388
Thus, we can understand that the LCM of 242,886,847,277,564 is 58620026388.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 242, 886, 847, 277, 564
1. What is the LCM of 242, 886, 847, 277, 564?
Answer: LCM of 242, 886, 847, 277, 564 is 58620026388.
2. How to calculate the LCM of 242, 886, 847, 277, 564?
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 242, 886, 847, 277, 564.
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}.