LCM of 872, 916, 654, 319, 902
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 872, 916, 654, 319, 902 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 872, 916, 654, 319, 902. So, keep reading to learn more.
Given numbers are 872,916,654,319,902
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 872,916,654,319,902 is 7835158056.
Find LCM of 872,916,654,319,902 with Prime Factorization
| 2 | 872, 916, 654, 319, 902 |
| 2 | 436, 458, 327, 319, 451 |
| 11 | 218, 229, 327, 319, 451 |
| 109 | 218, 229, 327, 29, 41 |
| 2, 229, 3, 29, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 109 x 2 x 229 x 3 x 29 x 41 = 7835158056
Therefore, the lowest common multiple of 872,916,654,319,902 is 7835158056.
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.
872 x 916 x 654 x 319 x 902 = 150309672146304
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.
872 : 1, 2, 4, 8, 109, 218, 436, 872
916 : 1, 2, 4, 229, 458, 916
654 : 1, 2, 3, 6, 109, 218, 327, 654
319 : 1, 11, 29, 319
902 : 1, 2, 11, 22, 41, 82, 451, 902
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 872,916,654,319,902, is 1.
Now, the common factors can be found like this.
872:2x 2x 2x 109
916:2x 2x 229
654:2x 3x 109
319:11x 29
902:2x 11x 41
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 11x 109 = 19184
Therefore, the value for common factors is 19184.
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 = 150309672146304/(1x19184)
LCM = 150309672146304/19184
LCM = 7835158056
Thus, we can understand that the LCM of 872,916,654,319,902 is 7835158056.
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FAQs on LCM of 872, 916, 654, 319, 902
1. What is the LCM of 872, 916, 654, 319, 902?
Answer: LCM of 872, 916, 654, 319, 902 is 7835158056.
2. How to calculate the LCM of 872, 916, 654, 319, 902?
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 872, 916, 654, 319, 902.
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}.