LCM of 146, 852, 648, 974, 420
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 146, 852, 648, 974, 420 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 146, 852, 648, 974, 420. So, keep reading to learn more.
Given numbers are 146,852,648,974,420
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 146,852,648,974,420 is 57247064280.
Find LCM of 146,852,648,974,420 with Prime Factorization
| 2 | 146, 852, 648, 974, 420 |
| 2 | 73, 426, 324, 487, 210 |
| 3 | 73, 213, 162, 487, 105 |
| 73, 71, 54, 487, 35 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 73 x 71 x 54 x 487 x 35 = 57247064280
Therefore, the lowest common multiple of 146,852,648,974,420 is 57247064280.
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.
146 x 852 x 648 x 974 x 420 = 32974309025280
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.
146 : 1, 2, 73, 146
852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
974 : 1, 2, 487, 974
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 146,852,648,974,420, is 2.
Now, the common factors can be found like this.
146:2x 73
852:2x 2x 3x 71
648:2x 2x 2x 3x 3x 3x 3
974:2x 487
420:2x 2x 3x 5x 7
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 2x 2x 3x 3 = 288
Therefore, the value for common factors is 288.
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 = 32974309025280/(2x288)
LCM = 32974309025280/576
LCM = 57247064280
Thus, we can understand that the LCM of 146,852,648,974,420 is 57247064280.
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FAQs on LCM of 146, 852, 648, 974, 420
1. What is the LCM of 146, 852, 648, 974, 420?
Answer: LCM of 146, 852, 648, 974, 420 is 57247064280.
2. How to calculate the LCM of 146, 852, 648, 974, 420?
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 146, 852, 648, 974, 420.
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}.