LCM of 967, 644, 432, 685, 874
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 967, 644, 432, 685, 874 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 967, 644, 432, 685, 874. So, keep reading to learn more.
Given numbers are 967,644,432,685,874
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 967,644,432,685,874 is 875347043760.
Find LCM of 967,644,432,685,874 with Prime Factorization
| 2 | 967, 644, 432, 685, 874 |
| 2 | 967, 322, 216, 685, 437 |
| 23 | 967, 161, 108, 685, 437 |
| 967, 7, 108, 685, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 23 x 967 x 7 x 108 x 685 x 19 = 875347043760
Therefore, the lowest common multiple of 967,644,432,685,874 is 875347043760.
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.
967 x 644 x 432 x 685 x 874 = 161063856051840
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.
967 : 1, 967
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
685 : 1, 5, 137, 685
874 : 1, 2, 19, 23, 38, 46, 437, 874
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 967,644,432,685,874, is 1.
Now, the common factors can be found like this.
967:967
644:2x 2x 7x 23
432:2x 2x 2x 2x 3x 3x 3
685:5x 137
874:2x 19x 23
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 23 = 184
Therefore, the value for common factors is 184.
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 = 161063856051840/(1x184)
LCM = 161063856051840/184
LCM = 875347043760
Thus, we can understand that the LCM of 967,644,432,685,874 is 875347043760.
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FAQs on LCM of 967, 644, 432, 685, 874
1. What is the LCM of 967, 644, 432, 685, 874?
Answer: LCM of 967, 644, 432, 685, 874 is 875347043760.
2. How to calculate the LCM of 967, 644, 432, 685, 874?
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 967, 644, 432, 685, 874.
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}.