LCM of 115, 391, 149, 770
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 115, 391, 149, 770 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 115, 391, 149, 770. So, keep reading to learn more.
Given numbers are 115,391,149,770
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 115,391,149,770 is 44859430.
Find LCM of 115,391,149,770 with Prime Factorization
| 5 | 115, 391, 149, 770 |
| 23 | 23, 391, 149, 154 |
| 1, 17, 149, 154 |
Multiply the prime numbers at the bottom and the left side.
5 x 23 x 1 x 17 x 149 x 154 = 44859430
Therefore, the lowest common multiple of 115,391,149,770 is 44859430.
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.
115 x 391 x 149 x 770 = 5158834450
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.
115 : 1, 5, 23, 115
391 : 1, 17, 23, 391
149 : 1, 149
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 115,391,149,770, is 1.
Now, the common factors can be found like this.
115:5x 23
391:17x 23
149:149
770:2x 5x 7x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 23 = 115
Therefore, the value for common factors is 115.
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 = 5158834450/(1x115)
LCM = 5158834450/115
LCM = 44859430
Thus, we can understand that the LCM of 115,391,149,770 is 44859430.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 115, 391, 149, 770
1. What is the LCM of 115, 391, 149, 770?
Answer: LCM of 115, 391, 149, 770 is 44859430.
2. How to calculate the LCM of 115, 391, 149, 770?
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 115, 391, 149, 770.
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}.