LCM of 868, 749, 477, 901
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 868, 749, 477, 901 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 868, 749, 477, 901. So, keep reading to learn more.
Given numbers are 868,749,477,901
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 868,749,477,901 is 753131484.
Find LCM of 868,749,477,901 with Prime Factorization
| 7 | 868, 749, 477, 901 |
| 53 | 124, 107, 477, 901 |
| 124, 107, 9, 17 |
Multiply the prime numbers at the bottom and the left side.
7 x 53 x 124 x 107 x 9 x 17 = 753131484
Therefore, the lowest common multiple of 868,749,477,901 is 753131484.
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.
868 x 749 x 477 x 901 = 279411780564
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.
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
749 : 1, 7, 107, 749
477 : 1, 3, 9, 53, 159, 477
901 : 1, 17, 53, 901
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 868,749,477,901, is 1.
Now, the common factors can be found like this.
868:2x 2x 7x 31
749:7x 107
477:3x 3x 53
901:17x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 53 = 371
Therefore, the value for common factors is 371.
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 = 279411780564/(1x371)
LCM = 279411780564/371
LCM = 753131484
Thus, we can understand that the LCM of 868,749,477,901 is 753131484.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 868, 749, 477, 901
1. What is the LCM of 868, 749, 477, 901?
Answer: LCM of 868, 749, 477, 901 is 753131484.
2. How to calculate the LCM of 868, 749, 477, 901?
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 868, 749, 477, 901.
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}.