LCM of 950, 874, 831, 688, 248
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 950, 874, 831, 688, 248 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 950, 874, 831, 688, 248. So, keep reading to learn more.
Given numbers are 950,874,831,688,248
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 950,874,831,688,248 is 193629980400.
Find LCM of 950,874,831,688,248 with Prime Factorization
| 2 | 950, 874, 831, 688, 248 |
| 2 | 475, 437, 831, 344, 124 |
| 2 | 475, 437, 831, 172, 62 |
| 19 | 475, 437, 831, 86, 31 |
| 25, 23, 831, 86, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 19 x 25 x 23 x 831 x 86 x 31 = 193629980400
Therefore, the lowest common multiple of 950,874,831,688,248 is 193629980400.
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.
950 x 874 x 831 x 688 x 248 = 117727028083200
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.
950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
874 : 1, 2, 19, 23, 38, 46, 437, 874
831 : 1, 3, 277, 831
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
248 : 1, 2, 4, 8, 31, 62, 124, 248
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 950,874,831,688,248, is 1.
Now, the common factors can be found like this.
950:2x 5x 5x 19
874:2x 19x 23
831:3x 277
688:2x 2x 2x 2x 43
248:2x 2x 2x 31
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 2x 2x 19 = 608
Therefore, the value for common factors is 608.
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 = 117727028083200/(1x608)
LCM = 117727028083200/608
LCM = 193629980400
Thus, we can understand that the LCM of 950,874,831,688,248 is 193629980400.
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FAQs on LCM of 950, 874, 831, 688, 248
1. What is the LCM of 950, 874, 831, 688, 248?
Answer: LCM of 950, 874, 831, 688, 248 is 193629980400.
2. How to calculate the LCM of 950, 874, 831, 688, 248?
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 950, 874, 831, 688, 248.
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}.