LCM of 298, 277, 902, 656, 983
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 298, 277, 902, 656, 983 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 298, 277, 902, 656, 983. So, keep reading to learn more.
Given numbers are 298,277,902,656,983
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 298,277,902,656,983 is 292762926544.
Find LCM of 298,277,902,656,983 with Prime Factorization
| 2 | 298, 277, 902, 656, 983 |
| 41 | 149, 277, 451, 328, 983 |
| 149, 277, 11, 8, 983 |
Multiply the prime numbers at the bottom and the left side.
2 x 41 x 149 x 277 x 11 x 8 x 983 = 292762926544
Therefore, the lowest common multiple of 298,277,902,656,983 is 292762926544.
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.
298 x 277 x 902 x 656 x 983 = 48013119953216
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.
298 : 1, 2, 149, 298
277 : 1, 277
902 : 1, 2, 11, 22, 41, 82, 451, 902
656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656
983 : 1, 983
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 298,277,902,656,983, is 1.
Now, the common factors can be found like this.
298:2x 149
277:277
902:2x 11x 41
656:2x 2x 2x 2x 41
983:983
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 41 = 164
Therefore, the value for common factors is 164.
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 = 48013119953216/(1x164)
LCM = 48013119953216/164
LCM = 292762926544
Thus, we can understand that the LCM of 298,277,902,656,983 is 292762926544.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 298, 277, 902, 656, 983
1. What is the LCM of 298, 277, 902, 656, 983?
Answer: LCM of 298, 277, 902, 656, 983 is 292762926544.
2. How to calculate the LCM of 298, 277, 902, 656, 983?
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 298, 277, 902, 656, 983.
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}.