LCM of 412, 785, 420, 971, 952
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 412, 785, 420, 971, 952 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 412, 785, 420, 971, 952. So, keep reading to learn more.
Given numbers are 412,785,420,971,952
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 412,785,420,971,952 is 224225145480.
Find LCM of 412,785,420,971,952 with Prime Factorization
| 2 | 412, 785, 420, 971, 952 |
| 2 | 206, 785, 210, 971, 476 |
| 5 | 103, 785, 105, 971, 238 |
| 7 | 103, 157, 21, 971, 238 |
| 103, 157, 3, 971, 34 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 103 x 157 x 3 x 971 x 34 = 224225145480
Therefore, the lowest common multiple of 412,785,420,971,952 is 224225145480.
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.
412 x 785 x 420 x 971 x 952 = 125566081468800
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.
412 : 1, 2, 4, 103, 206, 412
785 : 1, 5, 157, 785
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
971 : 1, 971
952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 412,785,420,971,952, is 1.
Now, the common factors can be found like this.
412:2x 2x 103
785:5x 157
420:2x 2x 3x 5x 7
971:971
952:2x 2x 2x 7x 17
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 2x 5x 7 = 560
Therefore, the value for common factors is 560.
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 = 125566081468800/(1x560)
LCM = 125566081468800/560
LCM = 224225145480
Thus, we can understand that the LCM of 412,785,420,971,952 is 224225145480.
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FAQs on LCM of 412, 785, 420, 971, 952
1. What is the LCM of 412, 785, 420, 971, 952?
Answer: LCM of 412, 785, 420, 971, 952 is 224225145480.
2. How to calculate the LCM of 412, 785, 420, 971, 952?
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 412, 785, 420, 971, 952.
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}.