LCM of 978, 986, 951, 632, 269
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 978, 986, 951, 632, 269 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 978, 986, 951, 632, 269. So, keep reading to learn more.
Given numbers are 978,986,951,632,269
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 978,986,951,632,269 is 12992250901272.
Find LCM of 978,986,951,632,269 with Prime Factorization
| 2 | 978, 986, 951, 632, 269 |
| 3 | 489, 493, 951, 316, 269 |
| 163, 493, 317, 316, 269 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 163 x 493 x 317 x 316 x 269 = 12992250901272
Therefore, the lowest common multiple of 978,986,951,632,269 is 12992250901272.
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.
978 x 986 x 951 x 632 x 269 = 155907010815264
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.
978 : 1, 2, 3, 6, 163, 326, 489, 978
986 : 1, 2, 17, 29, 34, 58, 493, 986
951 : 1, 3, 317, 951
632 : 1, 2, 4, 8, 79, 158, 316, 632
269 : 1, 269
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 978,986,951,632,269, is 1.
Now, the common factors can be found like this.
978:2x 3x 163
986:2x 17x 29
951:3x 317
632:2x 2x 2x 79
269:269
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 3 = 12
Therefore, the value for common factors is 12.
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 = 155907010815264/(1x12)
LCM = 155907010815264/12
LCM = 12992250901272
Thus, we can understand that the LCM of 978,986,951,632,269 is 12992250901272.
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FAQs on LCM of 978, 986, 951, 632, 269
1. What is the LCM of 978, 986, 951, 632, 269?
Answer: LCM of 978, 986, 951, 632, 269 is 12992250901272.
2. How to calculate the LCM of 978, 986, 951, 632, 269?
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 978, 986, 951, 632, 269.
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}.