LCM of 152, 748, 646, 978
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 152, 748, 646, 978 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 152, 748, 646, 978. So, keep reading to learn more.
Given numbers are 152,748,646,978
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 152,748,646,978 is 13899336.
Find LCM of 152,748,646,978 with Prime Factorization
| 2 | 152, 748, 646, 978 |
| 2 | 76, 374, 323, 489 |
| 17 | 38, 187, 323, 489 |
| 19 | 38, 11, 19, 489 |
| 2, 11, 1, 489 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 17 x 19 x 2 x 11 x 1 x 489 = 13899336
Therefore, the lowest common multiple of 152,748,646,978 is 13899336.
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.
152 x 748 x 646 x 978 = 71831768448
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.
152 : 1, 2, 4, 8, 19, 38, 76, 152
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
646 : 1, 2, 17, 19, 34, 38, 323, 646
978 : 1, 2, 3, 6, 163, 326, 489, 978
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 152,748,646,978, is 2.
Now, the common factors can be found like this.
152:2x 2x 2x 19
748:2x 2x 11x 17
646:2x 17x 19
978:2x 3x 163
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 17x 19 = 2584
Therefore, the value for common factors is 2584.
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 = 71831768448/(2x2584)
LCM = 71831768448/5168
LCM = 13899336
Thus, we can understand that the LCM of 152,748,646,978 is 13899336.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 152, 748, 646, 978
1. What is the LCM of 152, 748, 646, 978?
Answer: LCM of 152, 748, 646, 978 is 13899336.
2. How to calculate the LCM of 152, 748, 646, 978?
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 152, 748, 646, 978.
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}.