LCM of 989, 700, 987, 892, 763
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 989, 700, 987, 892, 763 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 989, 700, 987, 892, 763. So, keep reading to learn more.
Given numbers are 989,700,987,892,763
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 989,700,987,892,763 is 2372710790100.
Find LCM of 989,700,987,892,763 with Prime Factorization
| 2 | 989, 700, 987, 892, 763 |
| 2 | 989, 350, 987, 446, 763 |
| 7 | 989, 175, 987, 223, 763 |
| 989, 25, 141, 223, 109 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 989 x 25 x 141 x 223 x 109 = 2372710790100
Therefore, the lowest common multiple of 989,700,987,892,763 is 2372710790100.
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.
989 x 700 x 987 x 892 x 763 = 465051314859600
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.
989 : 1, 23, 43, 989
700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
987 : 1, 3, 7, 21, 47, 141, 329, 987
892 : 1, 2, 4, 223, 446, 892
763 : 1, 7, 109, 763
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 989,700,987,892,763, is 1.
Now, the common factors can be found like this.
989:23x 43
700:2x 2x 5x 5x 7
987:3x 7x 47
892:2x 2x 223
763:7x 109
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 7x 7 = 196
Therefore, the value for common factors is 196.
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 = 465051314859600/(1x196)
LCM = 465051314859600/196
LCM = 2372710790100
Thus, we can understand that the LCM of 989,700,987,892,763 is 2372710790100.
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FAQs on LCM of 989, 700, 987, 892, 763
1. What is the LCM of 989, 700, 987, 892, 763?
Answer: LCM of 989, 700, 987, 892, 763 is 2372710790100.
2. How to calculate the LCM of 989, 700, 987, 892, 763?
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 989, 700, 987, 892, 763.
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}.