Find the LCM of 890, 638, 669, 464, 147 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 890, 638, 669, 464, 147. So, keep reading to learn more.
Given numbers are 890,638,669,464,147
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 890,638,669,464,147 is 74454829680.
Find LCM of 890,638,669,464,147 with Prime Factorization
2 | 890, 638, 669, 464, 147 |
3 | 445, 319, 669, 232, 147 |
29 | 445, 319, 223, 232, 49 |
445, 11, 223, 8, 49 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 29 x 445 x 11 x 223 x 8 x 49 = 74454829680
Therefore, the lowest common multiple of 890,638,669,464,147 is 74454829680.
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.
890 x 638 x 669 x 464 x 147 = 25910280728640
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.
890 : 1, 2, 5, 10, 89, 178, 445, 890
638 : 1, 2, 11, 22, 29, 58, 319, 638
669 : 1, 3, 223, 669
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
147 : 1, 3, 7, 21, 49, 147
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 890,638,669,464,147, is 1.
Now, the common factors can be found like this.
890:2x 5x 89
638:2x 11x 29
669:3x 223
464:2x 2x 2x 2x 29
147:3x 7x 7
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 3x 29 = 348
Therefore, the value for common factors is 348.
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 = 25910280728640/(1x348)
LCM = 25910280728640/348
LCM = 74454829680
Thus, we can understand that the LCM of 890,638,669,464,147 is 74454829680.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 890, 638, 669, 464, 147?
Answer: LCM of 890, 638, 669, 464, 147 is 74454829680.
2. How to calculate the LCM of 890, 638, 669, 464, 147?
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 890, 638, 669, 464, 147.
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}.