LCM of 468, 292, 949, 862, 768
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 468, 292, 949, 862, 768 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 468, 292, 949, 862, 768. So, keep reading to learn more.
Given numbers are 468,292,949,862,768
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 468,292,949,862,768 is 942379776.
Find LCM of 468,292,949,862,768 with Prime Factorization
| 2 | 468, 292, 949, 862, 768 |
| 2 | 234, 146, 949, 431, 384 |
| 3 | 117, 73, 949, 431, 192 |
| 13 | 39, 73, 949, 431, 64 |
| 73 | 3, 73, 73, 431, 64 |
| 3, 1, 1, 431, 64 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 73 x 3 x 1 x 1 x 431 x 64 = 942379776
Therefore, the lowest common multiple of 468,292,949,862,768 is 942379776.
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.
468 x 292 x 949 x 862 x 768 = 85854567112704
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.
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
292 : 1, 2, 4, 73, 146, 292
949 : 1, 13, 73, 949
862 : 1, 2, 431, 862
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 468,292,949,862,768, is 1.
Now, the common factors can be found like this.
468:2x 2x 3x 3x 13
292:2x 2x 73
949:13x 73
862:2x 431
768:2x 2x 2x 2x 2x 2x 2x 2x 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 2x 2x 3x 13x 73 = 91104
Therefore, the value for common factors is 91104.
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 = 85854567112704/(1x91104)
LCM = 85854567112704/91104
LCM = 942379776
Thus, we can understand that the LCM of 468,292,949,862,768 is 942379776.
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FAQs on LCM of 468, 292, 949, 862, 768
1. What is the LCM of 468, 292, 949, 862, 768?
Answer: LCM of 468, 292, 949, 862, 768 is 942379776.
2. How to calculate the LCM of 468, 292, 949, 862, 768?
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 468, 292, 949, 862, 768.
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}.