LCM of 802, 249, 664, 443, 967
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 802, 249, 664, 443, 967 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 802, 249, 664, 443, 967. So, keep reading to learn more.
Given numbers are 802,249,664,443,967
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 802,249,664,443,967 is 342187315752.
Find LCM of 802,249,664,443,967 with Prime Factorization
| 2 | 802, 249, 664, 443, 967 |
| 83 | 401, 249, 332, 443, 967 |
| 401, 3, 4, 443, 967 |
Multiply the prime numbers at the bottom and the left side.
2 x 83 x 401 x 3 x 4 x 443 x 967 = 342187315752
Therefore, the lowest common multiple of 802,249,664,443,967 is 342187315752.
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.
802 x 249 x 664 x 443 x 967 = 56803094414832
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.
802 : 1, 2, 401, 802
249 : 1, 3, 83, 249
664 : 1, 2, 4, 8, 83, 166, 332, 664
443 : 1, 443
967 : 1, 967
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 802,249,664,443,967, is 1.
Now, the common factors can be found like this.
802:2x 401
249:3x 83
664:2x 2x 2x 83
443:443
967:967
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 83 = 166
Therefore, the value for common factors is 166.
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 = 56803094414832/(1x166)
LCM = 56803094414832/166
LCM = 342187315752
Thus, we can understand that the LCM of 802,249,664,443,967 is 342187315752.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 802, 249, 664, 443, 967
1. What is the LCM of 802, 249, 664, 443, 967?
Answer: LCM of 802, 249, 664, 443, 967 is 342187315752.
2. How to calculate the LCM of 802, 249, 664, 443, 967?
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 802, 249, 664, 443, 967.
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}.