LCM of 913, 533, 492, 723
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 913, 533, 492, 723 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, 533, 492, 723. So, keep reading to learn more.
Given numbers are 913,533,492,723
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 913,533,492,723 is 1407331068.
Find LCM of 913,533,492,723 with Prime Factorization
| 3 | 913, 533, 492, 723 |
| 41 | 913, 533, 164, 241 |
| 913, 13, 4, 241 |
Multiply the prime numbers at the bottom and the left side.
3 x 41 x 913 x 13 x 4 x 241 = 1407331068
Therefore, the lowest common multiple of 913,533,492,723 is 1407331068.
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 533 x 492 x 723 = 173101721364
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
533 : 1, 13, 41, 533
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
723 : 1, 3, 241, 723
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 913,533,492,723, is 1.
Now, the common factors can be found like this.
913:11x 83
533:13x 41
492:2x 2x 3x 41
723:3x 241
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 41 = 123
Therefore, the value for common factors is 123.
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 = 173101721364/(1x123)
LCM = 173101721364/123
LCM = 1407331068
Thus, we can understand that the LCM of 913,533,492,723 is 1407331068.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 913, 533, 492, 723
1. What is the LCM of 913, 533, 492, 723?
Answer: LCM of 913, 533, 492, 723 is 1407331068.
2. How to calculate the LCM of 913, 533, 492, 723?
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, 533, 492, 723.
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}.