LCM of 994, 821, 493, 276, 986
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 994, 821, 493, 276, 986 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 994, 821, 493, 276, 986. So, keep reading to learn more.
Given numbers are 994,821,493,276,986
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 994,821,493,276,986 is 55520778516.
Find LCM of 994,821,493,276,986 with Prime Factorization
| 2 | 994, 821, 493, 276, 986 |
| 17 | 497, 821, 493, 138, 493 |
| 29 | 497, 821, 29, 138, 29 |
| 497, 821, 1, 138, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 29 x 497 x 821 x 1 x 138 x 1 = 55520778516
Therefore, the lowest common multiple of 994,821,493,276,986 is 55520778516.
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.
994 x 821 x 493 x 276 x 986 = 109486975233552
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.
994 : 1, 2, 7, 14, 71, 142, 497, 994
821 : 1, 821
493 : 1, 17, 29, 493
276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
986 : 1, 2, 17, 29, 34, 58, 493, 986
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 994,821,493,276,986, is 1.
Now, the common factors can be found like this.
994:2x 7x 71
821:821
493:17x 29
276:2x 2x 3x 23
986:2x 17x 29
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 17x 29 = 1972
Therefore, the value for common factors is 1972.
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 = 109486975233552/(1x1972)
LCM = 109486975233552/1972
LCM = 55520778516
Thus, we can understand that the LCM of 994,821,493,276,986 is 55520778516.
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FAQs on LCM of 994, 821, 493, 276, 986
1. What is the LCM of 994, 821, 493, 276, 986?
Answer: LCM of 994, 821, 493, 276, 986 is 55520778516.
2. How to calculate the LCM of 994, 821, 493, 276, 986?
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 994, 821, 493, 276, 986.
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}.