Find the LCM of 749, 406, 612, 492, 274 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 749, 406, 612, 492, 274. So, keep reading to learn more.
Given numbers are 749,406,612,492,274
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 749,406,612,492,274 is 74668196484.
Find LCM of 749,406,612,492,274 with Prime Factorization
2 | 749, 406, 612, 492, 274 |
2 | 749, 203, 306, 246, 137 |
3 | 749, 203, 153, 123, 137 |
7 | 749, 203, 51, 41, 137 |
107, 29, 51, 41, 137 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 107 x 29 x 51 x 41 x 137 = 74668196484
Therefore, the lowest common multiple of 749,406,612,492,274 is 74668196484.
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.
749 x 406 x 612 x 492 x 274 = 25088514018624
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.
749 : 1, 7, 107, 749
406 : 1, 2, 7, 14, 29, 58, 203, 406
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
274 : 1, 2, 137, 274
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 749,406,612,492,274, is 1.
Now, the common factors can be found like this.
749:7x 107
406:2x 7x 29
612:2x 2x 3x 3x 17
492:2x 2x 3x 41
274:2x 137
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 7 = 336
Therefore, the value for common factors is 336.
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 = 25088514018624/(1x336)
LCM = 25088514018624/336
LCM = 74668196484
Thus, we can understand that the LCM of 749,406,612,492,274 is 74668196484.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 749, 406, 612, 492, 274?
Answer: LCM of 749, 406, 612, 492, 274 is 74668196484.
2. How to calculate the LCM of 749, 406, 612, 492, 274?
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 749, 406, 612, 492, 274.
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}.