LCM of 283, 169, 744, 676
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 283, 169, 744, 676 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 283, 169, 744, 676. So, keep reading to learn more.
Given numbers are 283,169,744,676
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 283,169,744,676 is 35583288.
Find LCM of 283,169,744,676 with Prime Factorization
| 2 | 283, 169, 744, 676 |
| 2 | 283, 169, 372, 338 |
| 13 | 283, 169, 186, 169 |
| 13 | 283, 13, 186, 13 |
| 283, 1, 186, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 13 x 283 x 1 x 186 x 1 = 35583288
Therefore, the lowest common multiple of 283,169,744,676 is 35583288.
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.
283 x 169 x 744 x 676 = 24054302688
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.
283 : 1, 283
169 : 1, 13, 169
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 283,169,744,676, is 1.
Now, the common factors can be found like this.
283:283
169:13x 13
744:2x 2x 2x 3x 31
676:2x 2x 13x 13
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 13x 13 = 676
Therefore, the value for common factors is 676.
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 = 24054302688/(1x676)
LCM = 24054302688/676
LCM = 35583288
Thus, we can understand that the LCM of 283,169,744,676 is 35583288.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 283, 169, 744, 676
1. What is the LCM of 283, 169, 744, 676?
Answer: LCM of 283, 169, 744, 676 is 35583288.
2. How to calculate the LCM of 283, 169, 744, 676?
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 283, 169, 744, 676.
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}.