LCM of 843, 874, 635, 125, 749
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 843, 874, 635, 125, 749 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 843, 874, 635, 125, 749. So, keep reading to learn more.
Given numbers are 843,874,635,125,749
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 843,874,635,125,749 is 8760614273250.
Find LCM of 843,874,635,125,749 with Prime Factorization
| 5 | 843, 874, 635, 125, 749 |
| 843, 874, 127, 25, 749 |
Multiply the prime numbers at the bottom and the left side.
5 x 843 x 874 x 127 x 25 x 749 = 8760614273250
Therefore, the lowest common multiple of 843,874,635,125,749 is 8760614273250.
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.
843 x 874 x 635 x 125 x 749 = 43803071366250
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.
843 : 1, 3, 281, 843
874 : 1, 2, 19, 23, 38, 46, 437, 874
635 : 1, 5, 127, 635
125 : 1, 5, 25, 125
749 : 1, 7, 107, 749
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 843,874,635,125,749, is 1.
Now, the common factors can be found like this.
843:3x 281
874:2x 19x 23
635:5x 127
125:5x 5x 5
749:7x 107
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5 = 5
Therefore, the value for common factors is 5.
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 = 43803071366250/(1x5)
LCM = 43803071366250/5
LCM = 8760614273250
Thus, we can understand that the LCM of 843,874,635,125,749 is 8760614273250.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 843, 874, 635, 125, 749
1. What is the LCM of 843, 874, 635, 125, 749?
Answer: LCM of 843, 874, 635, 125, 749 is 8760614273250.
2. How to calculate the LCM of 843, 874, 635, 125, 749?
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 843, 874, 635, 125, 749.
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}.