LCM of 620, 236, 407, 708, 330
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 620, 236, 407, 708, 330 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 620, 236, 407, 708, 330. So, keep reading to learn more.
Given numbers are 620,236,407,708,330
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 620,236,407,708,330 is 44664180.
Find LCM of 620,236,407,708,330 with Prime Factorization
| 2 | 620, 236, 407, 708, 330 |
| 2 | 310, 118, 407, 354, 165 |
| 3 | 155, 59, 407, 177, 165 |
| 5 | 155, 59, 407, 59, 55 |
| 11 | 31, 59, 407, 59, 11 |
| 59 | 31, 59, 37, 59, 1 |
| 31, 1, 37, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 11 x 59 x 31 x 1 x 37 x 1 x 1 = 44664180
Therefore, the lowest common multiple of 620,236,407,708,330 is 44664180.
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.
620 x 236 x 407 x 708 x 330 = 13913785353600
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.
620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
236 : 1, 2, 4, 59, 118, 236
407 : 1, 11, 37, 407
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 620,236,407,708,330, is 1.
Now, the common factors can be found like this.
620:2x 2x 5x 31
236:2x 2x 59
407:11x 37
708:2x 2x 3x 59
330:2x 3x 5x 11
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 5x 11x 59 = 311520
Therefore, the value for common factors is 311520.
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 = 13913785353600/(1x311520)
LCM = 13913785353600/311520
LCM = 44664180
Thus, we can understand that the LCM of 620,236,407,708,330 is 44664180.
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FAQs on LCM of 620, 236, 407, 708, 330
1. What is the LCM of 620, 236, 407, 708, 330?
Answer: LCM of 620, 236, 407, 708, 330 is 44664180.
2. How to calculate the LCM of 620, 236, 407, 708, 330?
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 620, 236, 407, 708, 330.
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}.