LCM of 786, 290, 278, 655
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 786, 290, 278, 655 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, 290, 278, 655. So, keep reading to learn more.
Given numbers are 786,290,278,655
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 786,290,278,655 is 15841830.
Find LCM of 786,290,278,655 with Prime Factorization
| 2 | 786, 290, 278, 655 |
| 5 | 393, 145, 139, 655 |
| 131 | 393, 29, 139, 131 |
| 3, 29, 139, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 131 x 3 x 29 x 139 x 1 = 15841830
Therefore, the lowest common multiple of 786,290,278,655 is 15841830.
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 290 x 278 x 655 = 41505594600
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
290 : 1, 2, 5, 10, 29, 58, 145, 290
278 : 1, 2, 139, 278
655 : 1, 5, 131, 655
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 786,290,278,655, is 1.
Now, the common factors can be found like this.
786:2x 3x 131
290:2x 5x 29
278:2x 139
655:5x 131
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 5x 131 = 2620
Therefore, the value for common factors is 2620.
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 = 41505594600/(1x2620)
LCM = 41505594600/2620
LCM = 15841830
Thus, we can understand that the LCM of 786,290,278,655 is 15841830.
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FAQs on LCM of 786, 290, 278, 655
1. What is the LCM of 786, 290, 278, 655?
Answer: LCM of 786, 290, 278, 655 is 15841830.
2. How to calculate the LCM of 786, 290, 278, 655?
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, 290, 278, 655.
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}.