LCM of 523, 978, 968, 916, 807
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 523, 978, 968, 916, 807 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 523, 978, 968, 916, 807. So, keep reading to learn more.
Given numbers are 523,978,968,916,807
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 523,978,968,916,807 is 15250134276696.
Find LCM of 523,978,968,916,807 with Prime Factorization
| 2 | 523, 978, 968, 916, 807 |
| 2 | 523, 489, 484, 458, 807 |
| 3 | 523, 489, 242, 229, 807 |
| 523, 163, 242, 229, 269 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 523 x 163 x 242 x 229 x 269 = 15250134276696
Therefore, the lowest common multiple of 523,978,968,916,807 is 15250134276696.
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.
523 x 978 x 968 x 916 x 807 = 366003222640704
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.
523 : 1, 523
978 : 1, 2, 3, 6, 163, 326, 489, 978
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
916 : 1, 2, 4, 229, 458, 916
807 : 1, 3, 269, 807
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 523,978,968,916,807, is 1.
Now, the common factors can be found like this.
523:523
978:2x 3x 163
968:2x 2x 2x 11x 11
916:2x 2x 229
807:3x 269
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 2x 3 = 24
Therefore, the value for common factors is 24.
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 = 366003222640704/(1x24)
LCM = 366003222640704/24
LCM = 15250134276696
Thus, we can understand that the LCM of 523,978,968,916,807 is 15250134276696.
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FAQs on LCM of 523, 978, 968, 916, 807
1. What is the LCM of 523, 978, 968, 916, 807?
Answer: LCM of 523, 978, 968, 916, 807 is 15250134276696.
2. How to calculate the LCM of 523, 978, 968, 916, 807?
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 523, 978, 968, 916, 807.
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}.