Find the LCM of 454, 624, 971, 746, 988 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 454, 624, 971, 746, 988. So, keep reading to learn more.
Given numbers are 454,624,971,746,988
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 454,624,971,746,988 is 974747454096.
Find LCM of 454,624,971,746,988 with Prime Factorization
2 | 454, 624, 971, 746, 988 |
2 | 227, 312, 971, 373, 494 |
13 | 227, 156, 971, 373, 247 |
227, 12, 971, 373, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 227 x 12 x 971 x 373 x 19 = 974747454096
Therefore, the lowest common multiple of 454,624,971,746,988 is 974747454096.
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.
454 x 624 x 971 x 746 x 988 = 202747470451968
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.
454 : 1, 2, 227, 454
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
971 : 1, 971
746 : 1, 2, 373, 746
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 454,624,971,746,988, is 1.
Now, the common factors can be found like this.
454:2x 227
624:2x 2x 2x 2x 3x 13
971:971
746:2x 373
988:2x 2x 13x 19
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 13 = 208
Therefore, the value for common factors is 208.
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 = 202747470451968/(1x208)
LCM = 202747470451968/208
LCM = 974747454096
Thus, we can understand that the LCM of 454,624,971,746,988 is 974747454096.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 454, 624, 971, 746, 988?
Answer: LCM of 454, 624, 971, 746, 988 is 974747454096.
2. How to calculate the LCM of 454, 624, 971, 746, 988?
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 454, 624, 971, 746, 988.
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}.