LCM of 902, 386, 847, 882, 944
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 902, 386, 847, 882, 944 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 902, 386, 847, 882, 944. So, keep reading to learn more.
Given numbers are 902,386,847,882,944
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 902,386,847,882,944 is 398599839792.
Find LCM of 902,386,847,882,944 with Prime Factorization
| 2 | 902, 386, 847, 882, 944 |
| 7 | 451, 193, 847, 441, 472 |
| 11 | 451, 193, 121, 63, 472 |
| 41, 193, 11, 63, 472 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 11 x 41 x 193 x 11 x 63 x 472 = 398599839792
Therefore, the lowest common multiple of 902,386,847,882,944 is 398599839792.
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.
902 x 386 x 847 x 882 x 944 = 245537501311872
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.
902 : 1, 2, 11, 22, 41, 82, 451, 902
386 : 1, 2, 193, 386
847 : 1, 7, 11, 77, 121, 847
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 902,386,847,882,944, is 1.
Now, the common factors can be found like this.
902:2x 11x 41
386:2x 193
847:7x 11x 11
882:2x 3x 3x 7x 7
944:2x 2x 2x 2x 59
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 7x 11 = 616
Therefore, the value for common factors is 616.
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 = 245537501311872/(1x616)
LCM = 245537501311872/616
LCM = 398599839792
Thus, we can understand that the LCM of 902,386,847,882,944 is 398599839792.
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FAQs on LCM of 902, 386, 847, 882, 944
1. What is the LCM of 902, 386, 847, 882, 944?
Answer: LCM of 902, 386, 847, 882, 944 is 398599839792.
2. How to calculate the LCM of 902, 386, 847, 882, 944?
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 902, 386, 847, 882, 944.
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}.