LCM of 472, 946, 713, 353
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 472, 946, 713, 353 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 472, 946, 713, 353. So, keep reading to learn more.
Given numbers are 472,946,713,353
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 472,946,713,353 is 56191079384.
Find LCM of 472,946,713,353 with Prime Factorization
| 2 | 472, 946, 713, 353 |
| 236, 473, 713, 353 |
Multiply the prime numbers at the bottom and the left side.
2 x 236 x 473 x 713 x 353 = 56191079384
Therefore, the lowest common multiple of 472,946,713,353 is 56191079384.
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.
472 x 946 x 713 x 353 = 112382158768
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.
472 : 1, 2, 4, 8, 59, 118, 236, 472
946 : 1, 2, 11, 22, 43, 86, 473, 946
713 : 1, 23, 31, 713
353 : 1, 353
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 472,946,713,353, is 1.
Now, the common factors can be found like this.
472:2x 2x 2x 59
946:2x 11x 43
713:23x 31
353:353
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 112382158768/(1x2)
LCM = 112382158768/2
LCM = 56191079384
Thus, we can understand that the LCM of 472,946,713,353 is 56191079384.
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FAQs on LCM of 472, 946, 713, 353
1. What is the LCM of 472, 946, 713, 353?
Answer: LCM of 472, 946, 713, 353 is 56191079384.
2. How to calculate the LCM of 472, 946, 713, 353?
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 472, 946, 713, 353.
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}.