LCM of 644, 782, 868, 824, 994
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 644, 782, 868, 824, 994 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 644, 782, 868, 824, 994. So, keep reading to learn more.
Given numbers are 644,782,868,824,994
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 644,782,868,824,994 is 4963888888.
Find LCM of 644,782,868,824,994 with Prime Factorization
| 2 | 644, 782, 868, 824, 994 |
| 2 | 322, 391, 434, 412, 497 |
| 7 | 161, 391, 217, 206, 497 |
| 23 | 23, 391, 31, 206, 71 |
| 1, 17, 31, 206, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 23 x 1 x 17 x 31 x 206 x 71 = 4963888888
Therefore, the lowest common multiple of 644,782,868,824,994 is 4963888888.
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.
644 x 782 x 868 x 824 x 994 = 358035377713664
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.
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
782 : 1, 2, 17, 23, 34, 46, 391, 782
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
824 : 1, 2, 4, 8, 103, 206, 412, 824
994 : 1, 2, 7, 14, 71, 142, 497, 994
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 644,782,868,824,994, is 2.
Now, the common factors can be found like this.
644:2x 2x 7x 23
782:2x 17x 23
868:2x 2x 7x 31
824:2x 2x 2x 103
994:2x 7x 71
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 7x 7x 23 = 36064
Therefore, the value for common factors is 36064.
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 = 358035377713664/(2x36064)
LCM = 358035377713664/72128
LCM = 4963888888
Thus, we can understand that the LCM of 644,782,868,824,994 is 4963888888.
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FAQs on LCM of 644, 782, 868, 824, 994
1. What is the LCM of 644, 782, 868, 824, 994?
Answer: LCM of 644, 782, 868, 824, 994 is 4963888888.
2. How to calculate the LCM of 644, 782, 868, 824, 994?
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 644, 782, 868, 824, 994.
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}.