LCM of 913, 901, 749, 761, 742
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 913, 901, 749, 761, 742 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 913, 901, 749, 761, 742. So, keep reading to learn more.
Given numbers are 913,901,749,761,742
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 913,901,749,761,742 is 937760722514.
Find LCM of 913,901,749,761,742 with Prime Factorization
| 7 | 913, 901, 749, 761, 742 |
| 53 | 913, 901, 107, 761, 106 |
| 913, 17, 107, 761, 2 |
Multiply the prime numbers at the bottom and the left side.
7 x 53 x 913 x 17 x 107 x 761 x 2 = 937760722514
Therefore, the lowest common multiple of 913,901,749,761,742 is 937760722514.
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.
913 x 901 x 749 x 761 x 742 = 347909228052694
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.
913 : 1, 11, 83, 913
901 : 1, 17, 53, 901
749 : 1, 7, 107, 749
761 : 1, 761
742 : 1, 2, 7, 14, 53, 106, 371, 742
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 913,901,749,761,742, is 1.
Now, the common factors can be found like this.
913:11x 83
901:17x 53
749:7x 107
761:761
742:2x 7x 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 = 347909228052694/(1x371)
LCM = 347909228052694/371
LCM = 937760722514
Thus, we can understand that the LCM of 913,901,749,761,742 is 937760722514.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 913, 901, 749, 761, 742
1. What is the LCM of 913, 901, 749, 761, 742?
Answer: LCM of 913, 901, 749, 761, 742 is 937760722514.
2. How to calculate the LCM of 913, 901, 749, 761, 742?
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 913, 901, 749, 761, 742.
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}.