LCM of 946, 414, 213, 606, 710
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 946, 414, 213, 606, 710 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 946, 414, 213, 606, 710. So, keep reading to learn more.
Given numbers are 946,414,213,606,710
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 946,414,213,606,710 is 7021197810.
Find LCM of 946,414,213,606,710 with Prime Factorization
| 2 | 946, 414, 213, 606, 710 |
| 3 | 473, 207, 213, 303, 355 |
| 71 | 473, 69, 71, 101, 355 |
| 473, 69, 1, 101, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 71 x 473 x 69 x 1 x 101 x 5 = 7021197810
Therefore, the lowest common multiple of 946,414,213,606,710 is 7021197810.
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.
946 x 414 x 213 x 606 x 710 = 35892363204720
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.
946 : 1, 2, 11, 22, 43, 86, 473, 946
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
213 : 1, 3, 71, 213
606 : 1, 2, 3, 6, 101, 202, 303, 606
710 : 1, 2, 5, 10, 71, 142, 355, 710
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 946,414,213,606,710, is 1.
Now, the common factors can be found like this.
946:2x 11x 43
414:2x 3x 3x 23
213:3x 71
606:2x 3x 101
710:2x 5x 71
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 71 = 5112
Therefore, the value for common factors is 5112.
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 = 35892363204720/(1x5112)
LCM = 35892363204720/5112
LCM = 7021197810
Thus, we can understand that the LCM of 946,414,213,606,710 is 7021197810.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 946, 414, 213, 606, 710
1. What is the LCM of 946, 414, 213, 606, 710?
Answer: LCM of 946, 414, 213, 606, 710 is 7021197810.
2. How to calculate the LCM of 946, 414, 213, 606, 710?
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 946, 414, 213, 606, 710.
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}.