LCM of 958, 749, 353, 721
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 958, 749, 353, 721 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 958, 749, 353, 721. So, keep reading to learn more.
Given numbers are 958,749,353,721
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 958,749,353,721 is 26089109578.
Find LCM of 958,749,353,721 with Prime Factorization
| 7 | 958, 749, 353, 721 |
| 958, 107, 353, 103 |
Multiply the prime numbers at the bottom and the left side.
7 x 958 x 107 x 353 x 103 = 26089109578
Therefore, the lowest common multiple of 958,749,353,721 is 26089109578.
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.
958 x 749 x 353 x 721 = 182623767046
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.
958 : 1, 2, 479, 958
749 : 1, 7, 107, 749
353 : 1, 353
721 : 1, 7, 103, 721
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 958,749,353,721, is 1.
Now, the common factors can be found like this.
958:2x 479
749:7x 107
353:353
721:7x 103
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7 = 7
Therefore, the value for common factors is 7.
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 = 182623767046/(1x7)
LCM = 182623767046/7
LCM = 26089109578
Thus, we can understand that the LCM of 958,749,353,721 is 26089109578.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 958, 749, 353, 721
1. What is the LCM of 958, 749, 353, 721?
Answer: LCM of 958, 749, 353, 721 is 26089109578.
2. How to calculate the LCM of 958, 749, 353, 721?
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 958, 749, 353, 721.
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}.