LCM of 998, 748, 132, 676, 853
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 998, 748, 132, 676, 853 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 998, 748, 132, 676, 853. So, keep reading to learn more.
Given numbers are 998,748,132,676,853
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 998,748,132,676,853 is 161420665692.
Find LCM of 998,748,132,676,853 with Prime Factorization
| 2 | 998, 748, 132, 676, 853 |
| 2 | 499, 374, 66, 338, 853 |
| 11 | 499, 187, 33, 169, 853 |
| 499, 17, 3, 169, 853 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 499 x 17 x 3 x 169 x 853 = 161420665692
Therefore, the lowest common multiple of 998,748,132,676,853 is 161420665692.
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.
998 x 748 x 132 x 676 x 853 = 56820074323584
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.
998 : 1, 2, 499, 998
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
853 : 1, 853
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 998,748,132,676,853, is 1.
Now, the common factors can be found like this.
998:2x 499
748:2x 2x 11x 17
132:2x 2x 3x 11
676:2x 2x 13x 13
853:853
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 11 = 352
Therefore, the value for common factors is 352.
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 = 56820074323584/(1x352)
LCM = 56820074323584/352
LCM = 161420665692
Thus, we can understand that the LCM of 998,748,132,676,853 is 161420665692.
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FAQs on LCM of 998, 748, 132, 676, 853
1. What is the LCM of 998, 748, 132, 676, 853?
Answer: LCM of 998, 748, 132, 676, 853 is 161420665692.
2. How to calculate the LCM of 998, 748, 132, 676, 853?
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 998, 748, 132, 676, 853.
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}.