LCM of 989, 174, 234, 390, 767
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 989, 174, 234, 390, 767 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, 174, 234, 390, 767. So, keep reading to learn more.
Given numbers are 989,174,234,390,767
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 989,174,234,390,767 is 1979849430.
Find LCM of 989,174,234,390,767 with Prime Factorization
| 2 | 989, 174, 234, 390, 767 |
| 3 | 989, 87, 117, 195, 767 |
| 13 | 989, 29, 39, 65, 767 |
| 989, 29, 3, 5, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 989 x 29 x 3 x 5 x 59 = 1979849430
Therefore, the lowest common multiple of 989,174,234,390,767 is 1979849430.
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 174 x 234 x 390 x 767 = 12045403932120
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
174 : 1, 2, 3, 6, 29, 58, 87, 174
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
767 : 1, 13, 59, 767
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 989,174,234,390,767, is 1.
Now, the common factors can be found like this.
989:23x 43
174:2x 3x 29
234:2x 3x 3x 13
390:2x 3x 5x 13
767:13x 59
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 3x 3x 13x 13 = 6084
Therefore, the value for common factors is 6084.
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 = 12045403932120/(1x6084)
LCM = 12045403932120/6084
LCM = 1979849430
Thus, we can understand that the LCM of 989,174,234,390,767 is 1979849430.
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FAQs on LCM of 989, 174, 234, 390, 767
1. What is the LCM of 989, 174, 234, 390, 767?
Answer: LCM of 989, 174, 234, 390, 767 is 1979849430.
2. How to calculate the LCM of 989, 174, 234, 390, 767?
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, 174, 234, 390, 767.
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}.