LCM of 989, 506, 140, 301, 145
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 989, 506, 140, 301, 145 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 989, 506, 140, 301, 145. So, keep reading to learn more.
Given numbers are 989,506,140,301,145
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 989,506,140,301,145 is 44168740.
Find LCM of 989,506,140,301,145 with Prime Factorization
| 2 | 989, 506, 140, 301, 145 |
| 5 | 989, 253, 70, 301, 145 |
| 7 | 989, 253, 14, 301, 29 |
| 23 | 989, 253, 2, 43, 29 |
| 43 | 43, 11, 2, 43, 29 |
| 1, 11, 2, 1, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 23 x 43 x 1 x 11 x 2 x 1 x 29 = 44168740
Therefore, the lowest common multiple of 989,506,140,301,145 is 44168740.
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.
989 x 506 x 140 x 301 x 145 = 3057801870200
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.
989 : 1, 23, 43, 989
506 : 1, 2, 11, 22, 23, 46, 253, 506
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
301 : 1, 7, 43, 301
145 : 1, 5, 29, 145
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 989,506,140,301,145, is 1.
Now, the common factors can be found like this.
989:23x 43
506:2x 11x 23
140:2x 2x 5x 7
301:7x 43
145:5x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 7x 23x 43 = 69230
Therefore, the value for common factors is 69230.
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 = 3057801870200/(1x69230)
LCM = 3057801870200/69230
LCM = 44168740
Thus, we can understand that the LCM of 989,506,140,301,145 is 44168740.
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FAQs on LCM of 989, 506, 140, 301, 145
1. What is the LCM of 989, 506, 140, 301, 145?
Answer: LCM of 989, 506, 140, 301, 145 is 44168740.
2. How to calculate the LCM of 989, 506, 140, 301, 145?
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 989, 506, 140, 301, 145.
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}.