LCM of 758, 174, 878, 132, 282
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 758, 174, 878, 132, 282 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 758, 174, 878, 132, 282. So, keep reading to learn more.
Given numbers are 758,174,878,132,282
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 758,174,878,132,282 is 29934603996.
Find LCM of 758,174,878,132,282 with Prime Factorization
| 2 | 758, 174, 878, 132, 282 |
| 3 | 379, 87, 439, 66, 141 |
| 379, 29, 439, 22, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 379 x 29 x 439 x 22 x 47 = 29934603996
Therefore, the lowest common multiple of 758,174,878,132,282 is 29934603996.
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.
758 x 174 x 878 x 132 x 282 = 4310582975424
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.
758 : 1, 2, 379, 758
174 : 1, 2, 3, 6, 29, 58, 87, 174
878 : 1, 2, 439, 878
132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
282 : 1, 2, 3, 6, 47, 94, 141, 282
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 758,174,878,132,282, is 2.
Now, the common factors can be found like this.
758:2x 379
174:2x 3x 29
878:2x 439
132:2x 2x 3x 11
282:2x 3x 47
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 2x 3x 3 = 72
Therefore, the value for common factors is 72.
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 = 4310582975424/(2x72)
LCM = 4310582975424/144
LCM = 29934603996
Thus, we can understand that the LCM of 758,174,878,132,282 is 29934603996.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 758, 174, 878, 132, 282
1. What is the LCM of 758, 174, 878, 132, 282?
Answer: LCM of 758, 174, 878, 132, 282 is 29934603996.
2. How to calculate the LCM of 758, 174, 878, 132, 282?
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 758, 174, 878, 132, 282.
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}.