Find the LCM of 334, 501, 473, 731 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 334, 501, 473, 731. So, keep reading to learn more.
Given numbers are 334,501,473,731
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 334,501,473,731 is 8057082.
Find LCM of 334,501,473,731 with Prime Factorization
43 | 334, 501, 473, 731 |
167 | 334, 501, 11, 17 |
2, 3, 11, 17 |
Multiply the prime numbers at the bottom and the left side.
43 x 167 x 2 x 3 x 11 x 17 = 8057082
Therefore, the lowest common multiple of 334,501,473,731 is 8057082.
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.
334 x 501 x 473 x 731 = 57857905842
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.
334 : 1, 2, 167, 334
501 : 1, 3, 167, 501
473 : 1, 11, 43, 473
731 : 1, 17, 43, 731
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 334,501,473,731, is 1.
Now, the common factors can be found like this.
334:2x 167
501:3x 167
473:11x 43
731:17x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
43x 167 = 7181
Therefore, the value for common factors is 7181.
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 = 57857905842/(1x7181)
LCM = 57857905842/7181
LCM = 8057082
Thus, we can understand that the LCM of 334,501,473,731 is 8057082.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 334, 501, 473, 731?
Answer: LCM of 334, 501, 473, 731 is 8057082.
2. How to calculate the LCM of 334, 501, 473, 731?
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 334, 501, 473, 731.
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}.