LCM of 226, 473, 867, 374, 958
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 226, 473, 867, 374, 958 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 226, 473, 867, 374, 958. So, keep reading to learn more.
Given numbers are 226,473,867,374,958
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 226,473,867,374,958 is 44393991114.
Find LCM of 226,473,867,374,958 with Prime Factorization
| 2 | 226, 473, 867, 374, 958 |
| 11 | 113, 473, 867, 187, 479 |
| 17 | 113, 43, 867, 17, 479 |
| 113, 43, 51, 1, 479 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 17 x 113 x 43 x 51 x 1 x 479 = 44393991114
Therefore, the lowest common multiple of 226,473,867,374,958 is 44393991114.
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.
226 x 473 x 867 x 374 x 958 = 33206705353272
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.
226 : 1, 2, 113, 226
473 : 1, 11, 43, 473
867 : 1, 3, 17, 51, 289, 867
374 : 1, 2, 11, 17, 22, 34, 187, 374
958 : 1, 2, 479, 958
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 226,473,867,374,958, is 1.
Now, the common factors can be found like this.
226:2x 113
473:11x 43
867:3x 17x 17
374:2x 11x 17
958:2x 479
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 17 = 748
Therefore, the value for common factors is 748.
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 = 33206705353272/(1x748)
LCM = 33206705353272/748
LCM = 44393991114
Thus, we can understand that the LCM of 226,473,867,374,958 is 44393991114.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 226, 473, 867, 374, 958
1. What is the LCM of 226, 473, 867, 374, 958?
Answer: LCM of 226, 473, 867, 374, 958 is 44393991114.
2. How to calculate the LCM of 226, 473, 867, 374, 958?
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 226, 473, 867, 374, 958.
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}.