LCM of 942, 618, 515, 471, 169
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 942, 618, 515, 471, 169 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 942, 618, 515, 471, 169. So, keep reading to learn more.
Given numbers are 942,618,515,471,169
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 942,618,515,471,169 is 81986970.
Find LCM of 942,618,515,471,169 with Prime Factorization
| 2 | 942, 618, 515, 471, 169 |
| 3 | 471, 309, 515, 471, 169 |
| 103 | 157, 103, 515, 157, 169 |
| 157 | 157, 1, 5, 157, 169 |
| 1, 1, 5, 1, 169 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 103 x 157 x 1 x 1 x 5 x 1 x 169 = 81986970
Therefore, the lowest common multiple of 942,618,515,471,169 is 81986970.
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.
942 x 618 x 515 x 471 x 169 = 23864603253660
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.
942 : 1, 2, 3, 6, 157, 314, 471, 942
618 : 1, 2, 3, 6, 103, 206, 309, 618
515 : 1, 5, 103, 515
471 : 1, 3, 157, 471
169 : 1, 13, 169
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 942,618,515,471,169, is 1.
Now, the common factors can be found like this.
942:2x 3x 157
618:2x 3x 103
515:5x 103
471:3x 157
169:13x 13
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 3x 103x 157 = 291078
Therefore, the value for common factors is 291078.
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 = 23864603253660/(1x291078)
LCM = 23864603253660/291078
LCM = 81986970
Thus, we can understand that the LCM of 942,618,515,471,169 is 81986970.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 942, 618, 515, 471, 169
1. What is the LCM of 942, 618, 515, 471, 169?
Answer: LCM of 942, 618, 515, 471, 169 is 81986970.
2. How to calculate the LCM of 942, 618, 515, 471, 169?
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 942, 618, 515, 471, 169.
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}.