LCM of 140, 749, 555, 861, 230
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 140, 749, 555, 861, 230 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 140, 749, 555, 861, 230. So, keep reading to learn more.
Given numbers are 140,749,555,861,230
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 140,749,555,861,230 is 1568001540.
Find LCM of 140,749,555,861,230 with Prime Factorization
| 2 | 140, 749, 555, 861, 230 |
| 3 | 70, 749, 555, 861, 115 |
| 5 | 70, 749, 185, 287, 115 |
| 7 | 14, 749, 37, 287, 23 |
| 2, 107, 37, 41, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 2 x 107 x 37 x 41 x 23 = 1568001540
Therefore, the lowest common multiple of 140,749,555,861,230 is 1568001540.
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.
140 x 749 x 555 x 861 x 230 = 11524811319000
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.
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
749 : 1, 7, 107, 749
555 : 1, 3, 5, 15, 37, 111, 185, 555
861 : 1, 3, 7, 21, 41, 123, 287, 861
230 : 1, 2, 5, 10, 23, 46, 115, 230
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 140,749,555,861,230, is 1.
Now, the common factors can be found like this.
140:2x 2x 5x 7
749:7x 107
555:3x 5x 37
861:3x 7x 41
230:2x 5x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 5x 7x 7 = 7350
Therefore, the value for common factors is 7350.
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 = 11524811319000/(1x7350)
LCM = 11524811319000/7350
LCM = 1568001540
Thus, we can understand that the LCM of 140,749,555,861,230 is 1568001540.
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FAQs on LCM of 140, 749, 555, 861, 230
1. What is the LCM of 140, 749, 555, 861, 230?
Answer: LCM of 140, 749, 555, 861, 230 is 1568001540.
2. How to calculate the LCM of 140, 749, 555, 861, 230?
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 140, 749, 555, 861, 230.
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}.