LCM of 212, 474, 662, 374, 508
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 212, 474, 662, 374, 508 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 212, 474, 662, 374, 508. So, keep reading to learn more.
Given numbers are 212,474,662,374,508
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 212,474,662,374,508 is 394964014236.
Find LCM of 212,474,662,374,508 with Prime Factorization
| 2 | 212, 474, 662, 374, 508 |
| 2 | 106, 237, 331, 187, 254 |
| 53, 237, 331, 187, 127 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 53 x 237 x 331 x 187 x 127 = 394964014236
Therefore, the lowest common multiple of 212,474,662,374,508 is 394964014236.
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.
212 x 474 x 662 x 374 x 508 = 12638848455552
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.
212 : 1, 2, 4, 53, 106, 212
474 : 1, 2, 3, 6, 79, 158, 237, 474
662 : 1, 2, 331, 662
374 : 1, 2, 11, 17, 22, 34, 187, 374
508 : 1, 2, 4, 127, 254, 508
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 212,474,662,374,508, is 2.
Now, the common factors can be found like this.
212:2x 2x 53
474:2x 3x 79
662:2x 331
374:2x 11x 17
508:2x 2x 127
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 2 = 16
Therefore, the value for common factors is 16.
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 = 12638848455552/(2x16)
LCM = 12638848455552/32
LCM = 394964014236
Thus, we can understand that the LCM of 212,474,662,374,508 is 394964014236.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 212, 474, 662, 374, 508
1. What is the LCM of 212, 474, 662, 374, 508?
Answer: LCM of 212, 474, 662, 374, 508 is 394964014236.
2. How to calculate the LCM of 212, 474, 662, 374, 508?
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 212, 474, 662, 374, 508.
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}.