LCM of 403, 926, 917, 962, 370
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 403, 926, 917, 962, 370 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 403, 926, 917, 962, 370. So, keep reading to learn more.
Given numbers are 403,926,917,962,370
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 403,926,917,962,370 is 63307781810.
Find LCM of 403,926,917,962,370 with Prime Factorization
| 2 | 403, 926, 917, 962, 370 |
| 13 | 403, 463, 917, 481, 185 |
| 37 | 31, 463, 917, 37, 185 |
| 31, 463, 917, 1, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 37 x 31 x 463 x 917 x 1 x 5 = 63307781810
Therefore, the lowest common multiple of 403,926,917,962,370 is 63307781810.
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.
403 x 926 x 917 x 962 x 370 = 121804172202440
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.
403 : 1, 13, 31, 403
926 : 1, 2, 463, 926
917 : 1, 7, 131, 917
962 : 1, 2, 13, 26, 37, 74, 481, 962
370 : 1, 2, 5, 10, 37, 74, 185, 370
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 403,926,917,962,370, is 1.
Now, the common factors can be found like this.
403:13x 31
926:2x 463
917:7x 131
962:2x 13x 37
370:2x 5x 37
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 13x 37 = 1924
Therefore, the value for common factors is 1924.
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 = 121804172202440/(1x1924)
LCM = 121804172202440/1924
LCM = 63307781810
Thus, we can understand that the LCM of 403,926,917,962,370 is 63307781810.
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FAQs on LCM of 403, 926, 917, 962, 370
1. What is the LCM of 403, 926, 917, 962, 370?
Answer: LCM of 403, 926, 917, 962, 370 is 63307781810.
2. How to calculate the LCM of 403, 926, 917, 962, 370?
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 403, 926, 917, 962, 370.
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}.