LCM of 210, 343, 283, 360, 756
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 210, 343, 283, 360, 756 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 210, 343, 283, 360, 756. So, keep reading to learn more.
Given numbers are 210,343,283,360,756
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 210,343,283,360,756 is 104834520.
Find LCM of 210,343,283,360,756 with Prime Factorization
| 2 | 210, 343, 283, 360, 756 |
| 2 | 105, 343, 283, 180, 378 |
| 3 | 105, 343, 283, 90, 189 |
| 3 | 35, 343, 283, 30, 63 |
| 5 | 35, 343, 283, 10, 21 |
| 7 | 7, 343, 283, 2, 21 |
| 1, 49, 283, 2, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 7 x 1 x 49 x 283 x 2 x 3 = 104834520
Therefore, the lowest common multiple of 210,343,283,360,756 is 104834520.
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.
210 x 343 x 283 x 360 x 756 = 5547842798400
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.
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
343 : 1, 7, 49, 343
283 : 1, 283
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 210,343,283,360,756, is 1.
Now, the common factors can be found like this.
210:2x 3x 5x 7
343:7x 7x 7
283:283
360:2x 2x 2x 3x 3x 5
756:2x 2x 3x 3x 3x 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 2x 2x 3x 3x 3x 5x 7x 7 = 52920
Therefore, the value for common factors is 52920.
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 = 5547842798400/(1x52920)
LCM = 5547842798400/52920
LCM = 104834520
Thus, we can understand that the LCM of 210,343,283,360,756 is 104834520.
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FAQs on LCM of 210, 343, 283, 360, 756
1. What is the LCM of 210, 343, 283, 360, 756?
Answer: LCM of 210, 343, 283, 360, 756 is 104834520.
2. How to calculate the LCM of 210, 343, 283, 360, 756?
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 210, 343, 283, 360, 756.
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}.