LCM of 917, 171, 778, 119, 493
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 917, 171, 778, 119, 493 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 917, 171, 778, 119, 493. So, keep reading to learn more.
Given numbers are 917,171,778,119,493
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 917,171,778,119,493 is 60143952078.
Find LCM of 917,171,778,119,493 with Prime Factorization
| 7 | 917, 171, 778, 119, 493 |
| 17 | 131, 171, 778, 17, 493 |
| 131, 171, 778, 1, 29 |
Multiply the prime numbers at the bottom and the left side.
7 x 17 x 131 x 171 x 778 x 1 x 29 = 60143952078
Therefore, the lowest common multiple of 917,171,778,119,493 is 60143952078.
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.
917 x 171 x 778 x 119 x 493 = 7157130297282
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.
917 : 1, 7, 131, 917
171 : 1, 3, 9, 19, 57, 171
778 : 1, 2, 389, 778
119 : 1, 7, 17, 119
493 : 1, 17, 29, 493
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 917,171,778,119,493, is 1.
Now, the common factors can be found like this.
917:7x 131
171:3x 3x 19
778:2x 389
119:7x 17
493:17x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 17 = 119
Therefore, the value for common factors is 119.
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 = 7157130297282/(1x119)
LCM = 7157130297282/119
LCM = 60143952078
Thus, we can understand that the LCM of 917,171,778,119,493 is 60143952078.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 917, 171, 778, 119, 493
1. What is the LCM of 917, 171, 778, 119, 493?
Answer: LCM of 917, 171, 778, 119, 493 is 60143952078.
2. How to calculate the LCM of 917, 171, 778, 119, 493?
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 917, 171, 778, 119, 493.
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}.