Find the LCM of 914, 626, 506, 322, 978 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 914, 626, 506, 322, 978. So, keep reading to learn more.
Given numbers are 914,626,506,322,978
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 914,626,506,322,978 is 247752447558.
Find LCM of 914,626,506,322,978 with Prime Factorization
2 | 914, 626, 506, 322, 978 |
23 | 457, 313, 253, 161, 489 |
457, 313, 11, 7, 489 |
Multiply the prime numbers at the bottom and the left side.
2 x 23 x 457 x 313 x 11 x 7 x 489 = 247752447558
Therefore, the lowest common multiple of 914,626,506,322,978 is 247752447558.
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.
914 x 626 x 506 x 322 x 978 = 91172900701344
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.
914 : 1, 2, 457, 914
626 : 1, 2, 313, 626
506 : 1, 2, 11, 22, 23, 46, 253, 506
322 : 1, 2, 7, 14, 23, 46, 161, 322
978 : 1, 2, 3, 6, 163, 326, 489, 978
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 914,626,506,322,978, is 2.
Now, the common factors can be found like this.
914:2x 457
626:2x 313
506:2x 11x 23
322:2x 7x 23
978:2x 3x 163
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 23 = 184
Therefore, the value for common factors is 184.
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 = 91172900701344/(2x184)
LCM = 91172900701344/368
LCM = 247752447558
Thus, we can understand that the LCM of 914,626,506,322,978 is 247752447558.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 914, 626, 506, 322, 978?
Answer: LCM of 914, 626, 506, 322, 978 is 247752447558.
2. How to calculate the LCM of 914, 626, 506, 322, 978?
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 914, 626, 506, 322, 978.
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}.