LCM of 649, 374, 414, 870, 552
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 649, 374, 414, 870, 552 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 649, 374, 414, 870, 552. So, keep reading to learn more.
Given numbers are 649,374,414,870,552
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 649,374,414,870,552 is 2649243960.
Find LCM of 649,374,414,870,552 with Prime Factorization
| 2 | 649, 374, 414, 870, 552 |
| 3 | 649, 187, 207, 435, 276 |
| 11 | 649, 187, 69, 145, 92 |
| 23 | 59, 17, 69, 145, 92 |
| 59, 17, 3, 145, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 23 x 59 x 17 x 3 x 145 x 4 = 2649243960
Therefore, the lowest common multiple of 649,374,414,870,552 is 2649243960.
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.
649 x 374 x 414 x 870 x 552 = 48258627975360
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.
649 : 1, 11, 59, 649
374 : 1, 2, 11, 17, 22, 34, 187, 374
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 649,374,414,870,552, is 1.
Now, the common factors can be found like this.
649:11x 59
374:2x 11x 17
414:2x 3x 3x 23
870:2x 3x 5x 29
552:2x 2x 2x 3x 23
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 3x 3x 11x 23 = 18216
Therefore, the value for common factors is 18216.
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 = 48258627975360/(1x18216)
LCM = 48258627975360/18216
LCM = 2649243960
Thus, we can understand that the LCM of 649,374,414,870,552 is 2649243960.
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FAQs on LCM of 649, 374, 414, 870, 552
1. What is the LCM of 649, 374, 414, 870, 552?
Answer: LCM of 649, 374, 414, 870, 552 is 2649243960.
2. How to calculate the LCM of 649, 374, 414, 870, 552?
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 649, 374, 414, 870, 552.
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}.