LCM of 660, 392, 658, 210, 199
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 660, 392, 658, 210, 199 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 660, 392, 658, 210, 199. So, keep reading to learn more.
Given numbers are 660,392,658,210,199
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 660,392,658,210,199 is 604952040.
Find LCM of 660,392,658,210,199 with Prime Factorization
| 2 | 660, 392, 658, 210, 199 |
| 2 | 330, 196, 329, 105, 199 |
| 3 | 165, 98, 329, 105, 199 |
| 5 | 55, 98, 329, 35, 199 |
| 7 | 11, 98, 329, 7, 199 |
| 11, 14, 47, 1, 199 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 11 x 14 x 47 x 1 x 199 = 604952040
Therefore, the lowest common multiple of 660,392,658,210,199 is 604952040.
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.
660 x 392 x 658 x 210 x 199 = 7114235990400
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.
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
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
658 : 1, 2, 7, 14, 47, 94, 329, 658
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
199 : 1, 199
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 660,392,658,210,199, is 1.
Now, the common factors can be found like this.
660:2x 2x 3x 5x 11
392:2x 2x 2x 7x 7
658:2x 7x 47
210:2x 3x 5x 7
199:199
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 5x 7x 7 = 11760
Therefore, the value for common factors is 11760.
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 = 7114235990400/(1x11760)
LCM = 7114235990400/11760
LCM = 604952040
Thus, we can understand that the LCM of 660,392,658,210,199 is 604952040.
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FAQs on LCM of 660, 392, 658, 210, 199
1. What is the LCM of 660, 392, 658, 210, 199?
Answer: LCM of 660, 392, 658, 210, 199 is 604952040.
2. How to calculate the LCM of 660, 392, 658, 210, 199?
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 660, 392, 658, 210, 199.
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}.