LCM of 240, 972, 611, 318, 241
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 240, 972, 611, 318, 241 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 240, 972, 611, 318, 241. So, keep reading to learn more.
Given numbers are 240,972,611,318,241
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 240,972,611,318,241 is 151715650320.
Find LCM of 240,972,611,318,241 with Prime Factorization
| 2 | 240, 972, 611, 318, 241 |
| 2 | 120, 486, 611, 159, 241 |
| 3 | 60, 243, 611, 159, 241 |
| 20, 81, 611, 53, 241 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 20 x 81 x 611 x 53 x 241 = 151715650320
Therefore, the lowest common multiple of 240,972,611,318,241 is 151715650320.
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.
240 x 972 x 611 x 318 x 241 = 10923526823040
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.
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
611 : 1, 13, 47, 611
318 : 1, 2, 3, 6, 53, 106, 159, 318
241 : 1, 241
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 240,972,611,318,241, is 1.
Now, the common factors can be found like this.
240:2x 2x 2x 2x 3x 5
972:2x 2x 3x 3x 3x 3x 3
611:13x 47
318:2x 3x 53
241:241
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 3 = 72
Therefore, the value for common factors is 72.
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 = 10923526823040/(1x72)
LCM = 10923526823040/72
LCM = 151715650320
Thus, we can understand that the LCM of 240,972,611,318,241 is 151715650320.
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FAQs on LCM of 240, 972, 611, 318, 241
1. What is the LCM of 240, 972, 611, 318, 241?
Answer: LCM of 240, 972, 611, 318, 241 is 151715650320.
2. How to calculate the LCM of 240, 972, 611, 318, 241?
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 240, 972, 611, 318, 241.
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}.