LCM of 420, 210, 365, 777
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 420, 210, 365, 777 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 420, 210, 365, 777. So, keep reading to learn more.
Given numbers are 420,210,365,777
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 420,210,365,777 is 1134420.
Find LCM of 420,210,365,777 with Prime Factorization
| 2 | 420, 210, 365, 777 |
| 3 | 210, 105, 365, 777 |
| 5 | 70, 35, 365, 259 |
| 7 | 14, 7, 73, 259 |
| 2, 1, 73, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 2 x 1 x 73 x 37 = 1134420
Therefore, the lowest common multiple of 420,210,365,777 is 1134420.
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.
420 x 210 x 365 x 777 = 25013961000
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.
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
365 : 1, 5, 73, 365
777 : 1, 3, 7, 21, 37, 111, 259, 777
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,210,365,777, is 1.
Now, the common factors can be found like this.
420:2x 2x 3x 5x 7
210:2x 3x 5x 7
365:5x 73
777:3x 7x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 5x 5x 7x 7 = 22050
Therefore, the value for common factors is 22050.
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 = 25013961000/(1x22050)
LCM = 25013961000/22050
LCM = 1134420
Thus, we can understand that the LCM of 420,210,365,777 is 1134420.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 420, 210, 365, 777
1. What is the LCM of 420, 210, 365, 777?
Answer: LCM of 420, 210, 365, 777 is 1134420.
2. How to calculate the LCM of 420, 210, 365, 777?
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 420, 210, 365, 777.
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}.