LCM of 855, 651, 152, 874, 684
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 855, 651, 152, 874, 684 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 855, 651, 152, 874, 684. So, keep reading to learn more.
Given numbers are 855,651,152,874,684
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 855,651,152,874,684 is 34138440.
Find LCM of 855,651,152,874,684 with Prime Factorization
| 2 | 855, 651, 152, 874, 684 |
| 2 | 855, 651, 76, 437, 342 |
| 3 | 855, 651, 38, 437, 171 |
| 3 | 285, 217, 38, 437, 57 |
| 19 | 95, 217, 38, 437, 19 |
| 5, 217, 2, 23, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 19 x 5 x 217 x 2 x 23 x 1 = 34138440
Therefore, the lowest common multiple of 855,651,152,874,684 is 34138440.
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.
855 x 651 x 152 x 874 x 684 = 50577600951360
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.
855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
651 : 1, 3, 7, 21, 31, 93, 217, 651
152 : 1, 2, 4, 8, 19, 38, 76, 152
874 : 1, 2, 19, 23, 38, 46, 437, 874
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 855,651,152,874,684, is 1.
Now, the common factors can be found like this.
855:3x 3x 5x 19
651:3x 7x 31
152:2x 2x 2x 19
874:2x 19x 23
684:2x 2x 3x 3x 19
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 3x 3x 19x 19x 19 = 1481544
Therefore, the value for common factors is 1481544.
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 = 50577600951360/(1x1481544)
LCM = 50577600951360/1481544
LCM = 34138440
Thus, we can understand that the LCM of 855,651,152,874,684 is 34138440.
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FAQs on LCM of 855, 651, 152, 874, 684
1. What is the LCM of 855, 651, 152, 874, 684?
Answer: LCM of 855, 651, 152, 874, 684 is 34138440.
2. How to calculate the LCM of 855, 651, 152, 874, 684?
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 855, 651, 152, 874, 684.
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}.