LCM of 984, 506, 350, 153, 427
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 984, 506, 350, 153, 427 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 984, 506, 350, 153, 427. So, keep reading to learn more.
Given numbers are 984,506,350,153,427
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 984,506,350,153,427 is 135535692600.
Find LCM of 984,506,350,153,427 with Prime Factorization
| 2 | 984, 506, 350, 153, 427 |
| 3 | 492, 253, 175, 153, 427 |
| 7 | 164, 253, 175, 51, 427 |
| 164, 253, 25, 51, 61 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 164 x 253 x 25 x 51 x 61 = 135535692600
Therefore, the lowest common multiple of 984,506,350,153,427 is 135535692600.
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.
984 x 506 x 350 x 153 x 427 = 11384998178400
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.
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
506 : 1, 2, 11, 22, 23, 46, 253, 506
350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
153 : 1, 3, 9, 17, 51, 153
427 : 1, 7, 61, 427
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 984,506,350,153,427, is 1.
Now, the common factors can be found like this.
984:2x 2x 2x 3x 41
506:2x 11x 23
350:2x 5x 5x 7
153:3x 3x 17
427:7x 61
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 3x 7 = 84
Therefore, the value for common factors is 84.
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 = 11384998178400/(1x84)
LCM = 11384998178400/84
LCM = 135535692600
Thus, we can understand that the LCM of 984,506,350,153,427 is 135535692600.
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FAQs on LCM of 984, 506, 350, 153, 427
1. What is the LCM of 984, 506, 350, 153, 427?
Answer: LCM of 984, 506, 350, 153, 427 is 135535692600.
2. How to calculate the LCM of 984, 506, 350, 153, 427?
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 984, 506, 350, 153, 427.
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}.