LCM of 786, 492, 921, 759, 648
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 786, 492, 921, 759, 648 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 786, 492, 921, 759, 648. So, keep reading to learn more.
Given numbers are 786,492,921,759,648
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 786,492,921,759,648 is 270326769768.
Find LCM of 786,492,921,759,648 with Prime Factorization
| 2 | 786, 492, 921, 759, 648 |
| 2 | 393, 246, 921, 759, 324 |
| 3 | 393, 123, 921, 759, 162 |
| 131, 41, 307, 253, 54 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 131 x 41 x 307 x 253 x 54 = 270326769768
Therefore, the lowest common multiple of 786,492,921,759,648 is 270326769768.
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.
786 x 492 x 921 x 759 x 648 = 175171746809664
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.
786 : 1, 2, 3, 6, 131, 262, 393, 786
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
921 : 1, 3, 307, 921
759 : 1, 3, 11, 23, 33, 69, 253, 759
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 786,492,921,759,648, is 3.
Now, the common factors can be found like this.
786:2x 3x 131
492:2x 2x 3x 41
921:3x 307
759:3x 11x 23
648:2x 2x 2x 3x 3x 3x 3
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 3 = 216
Therefore, the value for common factors is 216.
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 = 175171746809664/(3x216)
LCM = 175171746809664/648
LCM = 270326769768
Thus, we can understand that the LCM of 786,492,921,759,648 is 270326769768.
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FAQs on LCM of 786, 492, 921, 759, 648
1. What is the LCM of 786, 492, 921, 759, 648?
Answer: LCM of 786, 492, 921, 759, 648 is 270326769768.
2. How to calculate the LCM of 786, 492, 921, 759, 648?
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 786, 492, 921, 759, 648.
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}.