LCM of 473, 832, 286, 113
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 473, 832, 286, 113 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 473, 832, 286, 113. So, keep reading to learn more.
Given numbers are 473,832,286,113
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 473,832,286,113 is 44469568.
Find LCM of 473,832,286,113 with Prime Factorization
| 2 | 473, 832, 286, 113 |
| 11 | 473, 416, 143, 113 |
| 13 | 43, 416, 13, 113 |
| 43, 32, 1, 113 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 13 x 43 x 32 x 1 x 113 = 44469568
Therefore, the lowest common multiple of 473,832,286,113 is 44469568.
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.
473 x 832 x 286 x 113 = 12718296448
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.
473 : 1, 11, 43, 473
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
286 : 1, 2, 11, 13, 22, 26, 143, 286
113 : 1, 113
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 473,832,286,113, is 1.
Now, the common factors can be found like this.
473:11x 43
832:2x 2x 2x 2x 2x 2x 13
286:2x 11x 13
113:113
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 13 = 286
Therefore, the value for common factors is 286.
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 = 12718296448/(1x286)
LCM = 12718296448/286
LCM = 44469568
Thus, we can understand that the LCM of 473,832,286,113 is 44469568.
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FAQs on LCM of 473, 832, 286, 113
1. What is the LCM of 473, 832, 286, 113?
Answer: LCM of 473, 832, 286, 113 is 44469568.
2. How to calculate the LCM of 473, 832, 286, 113?
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 473, 832, 286, 113.
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}.