LCM of 879, 742, 865, 443, 346
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 879, 742, 865, 443, 346 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 879, 742, 865, 443, 346. So, keep reading to learn more.
Given numbers are 879,742,865,443,346
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 879,742,865,443,346 is 249926676510.
Find LCM of 879,742,865,443,346 with Prime Factorization
| 2 | 879, 742, 865, 443, 346 |
| 173 | 879, 371, 865, 443, 173 |
| 879, 371, 5, 443, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 173 x 879 x 371 x 5 x 443 x 1 = 249926676510
Therefore, the lowest common multiple of 879,742,865,443,346 is 249926676510.
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.
879 x 742 x 865 x 443 x 346 = 86474630072460
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.
879 : 1, 3, 293, 879
742 : 1, 2, 7, 14, 53, 106, 371, 742
865 : 1, 5, 173, 865
443 : 1, 443
346 : 1, 2, 173, 346
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 879,742,865,443,346, is 1.
Now, the common factors can be found like this.
879:3x 293
742:2x 7x 53
865:5x 173
443:443
346:2x 173
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 173 = 346
Therefore, the value for common factors is 346.
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 = 86474630072460/(1x346)
LCM = 86474630072460/346
LCM = 249926676510
Thus, we can understand that the LCM of 879,742,865,443,346 is 249926676510.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 879, 742, 865, 443, 346
1. What is the LCM of 879, 742, 865, 443, 346?
Answer: LCM of 879, 742, 865, 443, 346 is 249926676510.
2. How to calculate the LCM of 879, 742, 865, 443, 346?
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 879, 742, 865, 443, 346.
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}.