LCM of 748, 204, 676, 498, 407
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 748, 204, 676, 498, 407 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 748, 204, 676, 498, 407. So, keep reading to learn more.
Given numbers are 748,204,676,498,407
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 748,204,676,498,407 is 1164633756.
Find LCM of 748,204,676,498,407 with Prime Factorization
| 2 | 748, 204, 676, 498, 407 |
| 2 | 374, 102, 338, 249, 407 |
| 3 | 187, 51, 169, 249, 407 |
| 11 | 187, 17, 169, 83, 407 |
| 17 | 17, 17, 169, 83, 37 |
| 1, 1, 169, 83, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 17 x 1 x 1 x 169 x 83 x 37 = 1164633756
Therefore, the lowest common multiple of 748,204,676,498,407 is 1164633756.
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.
748 x 204 x 676 x 498 x 407 = 20907505187712
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.
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
498 : 1, 2, 3, 6, 83, 166, 249, 498
407 : 1, 11, 37, 407
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 748,204,676,498,407, is 1.
Now, the common factors can be found like this.
748:2x 2x 11x 17
204:2x 2x 3x 17
676:2x 2x 13x 13
498:2x 3x 83
407:11x 37
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 2x 3x 11x 17 = 17952
Therefore, the value for common factors is 17952.
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 = 20907505187712/(1x17952)
LCM = 20907505187712/17952
LCM = 1164633756
Thus, we can understand that the LCM of 748,204,676,498,407 is 1164633756.
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FAQs on LCM of 748, 204, 676, 498, 407
1. What is the LCM of 748, 204, 676, 498, 407?
Answer: LCM of 748, 204, 676, 498, 407 is 1164633756.
2. How to calculate the LCM of 748, 204, 676, 498, 407?
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 748, 204, 676, 498, 407.
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}.