Find the LCM of 148, 497, 655, 840, 112 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 148, 497, 655, 840, 112. So, keep reading to learn more.
Given numbers are 148,497,655,840,112
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 148,497,655,840,112 is 578150160.
Find LCM of 148,497,655,840,112 with Prime Factorization
2 | 148, 497, 655, 840, 112 |
2 | 74, 497, 655, 420, 56 |
2 | 37, 497, 655, 210, 28 |
5 | 37, 497, 655, 105, 14 |
7 | 37, 497, 131, 21, 14 |
37, 71, 131, 3, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 7 x 37 x 71 x 131 x 3 x 2 = 578150160
Therefore, the lowest common multiple of 148,497,655,840,112 is 578150160.
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.
148 x 497 x 655 x 840 x 112 = 4532697254400
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.
148 : 1, 2, 4, 37, 74, 148
497 : 1, 7, 71, 497
655 : 1, 5, 131, 655
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 148,497,655,840,112, is 1.
Now, the common factors can be found like this.
148:2x 2x 37
497:7x 71
655:5x 131
840:2x 2x 2x 3x 5x 7
112:2x 2x 2x 2x 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 2x 2x 2x 5x 7x 7 = 7840
Therefore, the value for common factors is 7840.
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 = 4532697254400/(1x7840)
LCM = 4532697254400/7840
LCM = 578150160
Thus, we can understand that the LCM of 148,497,655,840,112 is 578150160.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 148, 497, 655, 840, 112?
Answer: LCM of 148, 497, 655, 840, 112 is 578150160.
2. How to calculate the LCM of 148, 497, 655, 840, 112?
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 148, 497, 655, 840, 112.
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}.