LCM of 356, 517, 660, 189, 840
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 356, 517, 660, 189, 840 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 356, 517, 660, 189, 840. So, keep reading to learn more.
Given numbers are 356,517,660,189,840
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 356,517,660,189,840 is 347858280.
Find LCM of 356,517,660,189,840 with Prime Factorization
| 2 | 356, 517, 660, 189, 840 |
| 2 | 178, 517, 330, 189, 420 |
| 3 | 89, 517, 165, 189, 210 |
| 5 | 89, 517, 55, 63, 70 |
| 7 | 89, 517, 11, 63, 14 |
| 11 | 89, 517, 11, 9, 2 |
| 89, 47, 1, 9, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 11 x 89 x 47 x 1 x 9 x 2 = 347858280
Therefore, the lowest common multiple of 356,517,660,189,840 is 347858280.
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.
356 x 517 x 660 x 189 x 840 = 19285263043200
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.
356 : 1, 2, 4, 89, 178, 356
517 : 1, 11, 47, 517
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
189 : 1, 3, 7, 9, 21, 27, 63, 189
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 356,517,660,189,840, is 1.
Now, the common factors can be found like this.
356:2x 2x 89
517:11x 47
660:2x 2x 3x 5x 11
189:3x 3x 3x 7
840:2x 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 3x 3x 5x 7x 11 = 55440
Therefore, the value for common factors is 55440.
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 = 19285263043200/(1x55440)
LCM = 19285263043200/55440
LCM = 347858280
Thus, we can understand that the LCM of 356,517,660,189,840 is 347858280.
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FAQs on LCM of 356, 517, 660, 189, 840
1. What is the LCM of 356, 517, 660, 189, 840?
Answer: LCM of 356, 517, 660, 189, 840 is 347858280.
2. How to calculate the LCM of 356, 517, 660, 189, 840?
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 356, 517, 660, 189, 840.
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}.