Find the LCM of 430, 472, 238, 956, 501 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 430, 472, 238, 956, 501. So, keep reading to learn more.
Given numbers are 430,472,238,956,501
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 430,472,238,956,501 is 1445982532680.
Find LCM of 430,472,238,956,501 with Prime Factorization
2 | 430, 472, 238, 956, 501 |
2 | 215, 236, 119, 478, 501 |
215, 118, 119, 239, 501 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 215 x 118 x 119 x 239 x 501 = 1445982532680
Therefore, the lowest common multiple of 430,472,238,956,501 is 1445982532680.
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.
430 x 472 x 238 x 956 x 501 = 23135720522880
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.
430 : 1, 2, 5, 10, 43, 86, 215, 430
472 : 1, 2, 4, 8, 59, 118, 236, 472
238 : 1, 2, 7, 14, 17, 34, 119, 238
956 : 1, 2, 4, 239, 478, 956
501 : 1, 3, 167, 501
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 430,472,238,956,501, is 1.
Now, the common factors can be found like this.
430:2x 5x 43
472:2x 2x 2x 59
238:2x 7x 17
956:2x 2x 239
501:3x 167
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 2 = 16
Therefore, the value for common factors is 16.
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 = 23135720522880/(1x16)
LCM = 23135720522880/16
LCM = 1445982532680
Thus, we can understand that the LCM of 430,472,238,956,501 is 1445982532680.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 430, 472, 238, 956, 501?
Answer: LCM of 430, 472, 238, 956, 501 is 1445982532680.
2. How to calculate the LCM of 430, 472, 238, 956, 501?
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 430, 472, 238, 956, 501.
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}.