LCM of 148, 634, 642, 300, 921
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 148, 634, 642, 300, 921 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, 634, 642, 300, 921. So, keep reading to learn more.
Given numbers are 148,634,642,300,921
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 148,634,642,300,921 is 115585776300.
Find LCM of 148,634,642,300,921 with Prime Factorization
| 2 | 148, 634, 642, 300, 921 |
| 2 | 74, 317, 321, 150, 921 |
| 3 | 37, 317, 321, 75, 921 |
| 37, 317, 107, 25, 307 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 37 x 317 x 107 x 25 x 307 = 115585776300
Therefore, the lowest common multiple of 148,634,642,300,921 is 115585776300.
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 634 x 642 x 300 x 921 = 16644351787200
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
634 : 1, 2, 317, 634
642 : 1, 2, 3, 6, 107, 214, 321, 642
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
921 : 1, 3, 307, 921
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 148,634,642,300,921, is 1.
Now, the common factors can be found like this.
148:2x 2x 37
634:2x 317
642:2x 3x 107
300:2x 2x 3x 5x 5
921:3x 307
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 3 = 144
Therefore, the value for common factors is 144.
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 = 16644351787200/(1x144)
LCM = 16644351787200/144
LCM = 115585776300
Thus, we can understand that the LCM of 148,634,642,300,921 is 115585776300.
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FAQs on LCM of 148, 634, 642, 300, 921
1. What is the LCM of 148, 634, 642, 300, 921?
Answer: LCM of 148, 634, 642, 300, 921 is 115585776300.
2. How to calculate the LCM of 148, 634, 642, 300, 921?
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, 634, 642, 300, 921.
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}.