LCM of 786, 474, 533, 312, 907
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 786, 474, 533, 312, 907 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, 474, 533, 312, 907. So, keep reading to learn more.
Given numbers are 786,474,533,312,907
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 786,474,533,312,907 is 120072658056.
Find LCM of 786,474,533,312,907 with Prime Factorization
| 2 | 786, 474, 533, 312, 907 |
| 3 | 393, 237, 533, 156, 907 |
| 13 | 131, 79, 533, 52, 907 |
| 131, 79, 41, 4, 907 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 131 x 79 x 41 x 4 x 907 = 120072658056
Therefore, the lowest common multiple of 786,474,533,312,907 is 120072658056.
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 474 x 533 x 312 x 907 = 56194003970208
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
474 : 1, 2, 3, 6, 79, 158, 237, 474
533 : 1, 13, 41, 533
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
907 : 1, 907
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 786,474,533,312,907, is 1.
Now, the common factors can be found like this.
786:2x 3x 131
474:2x 3x 79
533:13x 41
312:2x 2x 2x 3x 13
907:907
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 3x 3x 13 = 468
Therefore, the value for common factors is 468.
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 = 56194003970208/(1x468)
LCM = 56194003970208/468
LCM = 120072658056
Thus, we can understand that the LCM of 786,474,533,312,907 is 120072658056.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 786, 474, 533, 312, 907
1. What is the LCM of 786, 474, 533, 312, 907?
Answer: LCM of 786, 474, 533, 312, 907 is 120072658056.
2. How to calculate the LCM of 786, 474, 533, 312, 907?
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, 474, 533, 312, 907.
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}.