LCM of 370, 724, 888, 661
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 370, 724, 888, 661 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 370, 724, 888, 661. So, keep reading to learn more.
Given numbers are 370,724,888,661
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 370,724,888,661 is 531206040.
Find LCM of 370,724,888,661 with Prime Factorization
| 2 | 370, 724, 888, 661 |
| 2 | 185, 362, 444, 661 |
| 37 | 185, 181, 222, 661 |
| 5, 181, 6, 661 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 37 x 5 x 181 x 6 x 661 = 531206040
Therefore, the lowest common multiple of 370,724,888,661 is 531206040.
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.
370 x 724 x 888 x 661 = 157236987840
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.
370 : 1, 2, 5, 10, 37, 74, 185, 370
724 : 1, 2, 4, 181, 362, 724
888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
661 : 1, 661
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 370,724,888,661, is 1.
Now, the common factors can be found like this.
370:2x 5x 37
724:2x 2x 181
888:2x 2x 2x 3x 37
661:661
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 37 = 296
Therefore, the value for common factors is 296.
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 = 157236987840/(1x296)
LCM = 157236987840/296
LCM = 531206040
Thus, we can understand that the LCM of 370,724,888,661 is 531206040.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 370, 724, 888, 661
1. What is the LCM of 370, 724, 888, 661?
Answer: LCM of 370, 724, 888, 661 is 531206040.
2. How to calculate the LCM of 370, 724, 888, 661?
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 370, 724, 888, 661.
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}.