Find the LCM of 998, 303, 546, 676, 572 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 998, 303, 546, 676, 572. So, keep reading to learn more.
Given numbers are 998,303,546,676,572
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 998,303,546,676,572 is 7870106244.
Find LCM of 998,303,546,676,572 with Prime Factorization
2 | 998, 303, 546, 676, 572 |
2 | 499, 303, 273, 338, 286 |
3 | 499, 303, 273, 169, 143 |
13 | 499, 101, 91, 169, 143 |
499, 101, 7, 13, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 499 x 101 x 7 x 13 x 11 = 7870106244
Therefore, the lowest common multiple of 998,303,546,676,572 is 7870106244.
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.
998 x 303 x 546 x 676 x 572 = 63842301851328
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.
998 : 1, 2, 499, 998
303 : 1, 3, 101, 303
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 998,303,546,676,572, is 1.
Now, the common factors can be found like this.
998:2x 499
303:3x 101
546:2x 3x 7x 13
676:2x 2x 13x 13
572:2x 2x 11x 13
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 3x 13x 13 = 8112
Therefore, the value for common factors is 8112.
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 = 63842301851328/(1x8112)
LCM = 63842301851328/8112
LCM = 7870106244
Thus, we can understand that the LCM of 998,303,546,676,572 is 7870106244.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 998, 303, 546, 676, 572?
Answer: LCM of 998, 303, 546, 676, 572 is 7870106244.
2. How to calculate the LCM of 998, 303, 546, 676, 572?
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 998, 303, 546, 676, 572.
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}.