LCM of 119, 254, 506, 978, 369
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 119, 254, 506, 978, 369 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 119, 254, 506, 978, 369. So, keep reading to learn more.
Given numbers are 119,254,506,978,369
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 119,254,506,978,369 is 459954815166.
Find LCM of 119,254,506,978,369 with Prime Factorization
| 2 | 119, 254, 506, 978, 369 |
| 3 | 119, 127, 253, 489, 369 |
| 119, 127, 253, 163, 123 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 119 x 127 x 253 x 163 x 123 = 459954815166
Therefore, the lowest common multiple of 119,254,506,978,369 is 459954815166.
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.
119 x 254 x 506 x 978 x 369 = 5519457781992
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.
119 : 1, 7, 17, 119
254 : 1, 2, 127, 254
506 : 1, 2, 11, 22, 23, 46, 253, 506
978 : 1, 2, 3, 6, 163, 326, 489, 978
369 : 1, 3, 9, 41, 123, 369
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 119,254,506,978,369, is 1.
Now, the common factors can be found like this.
119:7x 17
254:2x 127
506:2x 11x 23
978:2x 3x 163
369:3x 3x 41
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 = 5519457781992/(1x12)
LCM = 5519457781992/12
LCM = 459954815166
Thus, we can understand that the LCM of 119,254,506,978,369 is 459954815166.
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FAQs on LCM of 119, 254, 506, 978, 369
1. What is the LCM of 119, 254, 506, 978, 369?
Answer: LCM of 119, 254, 506, 978, 369 is 459954815166.
2. How to calculate the LCM of 119, 254, 506, 978, 369?
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 119, 254, 506, 978, 369.
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}.