LCM of 707, 420, 210
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 707, 420, 210 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 707, 420, 210. So, keep reading to learn more.
Given numbers are 707,420,210
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 707,420,210 is 42420.
Find LCM of 707,420,210 with Prime Factorization
| 2 | 707, 420, 210 |
| 3 | 707, 210, 105 |
| 5 | 707, 70, 35 |
| 7 | 707, 14, 7 |
| 101, 2, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 101 x 2 x 1 = 42420
Therefore, the lowest common multiple of 707,420,210 is 42420.
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.
707 x 420 x 210 = 62357400
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.
707 : 1, 7, 101, 707
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
7 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 707,420,210, is 7.
Now, the common factors can be found like this.
707:7x 101
420:2x 2x 3x 5x 7
210:2x 3x 5x 7
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 5x 7 = 210
Therefore, the value for common factors is 210.
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 = 62357400/(7x210)
LCM = 62357400/1470
LCM = 42420
Thus, we can understand that the LCM of 707,420,210 is 42420.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 707, 420, 210
1. What is the LCM of 707, 420, 210?
Answer: LCM of 707, 420, 210 is 42420.
2. How to calculate the LCM of 707, 420, 210?
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 707, 420, 210.
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}.