Find the LCM of 840, 726, 804, 236, 398 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 840, 726, 804, 236, 398. So, keep reading to learn more.
Given numbers are 840,726,804,236,398
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 840,726,804,236,398 is 79954801080.
Find LCM of 840,726,804,236,398 with Prime Factorization
2 | 840, 726, 804, 236, 398 |
2 | 420, 363, 402, 118, 199 |
3 | 210, 363, 201, 59, 199 |
70, 121, 67, 59, 199 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 70 x 121 x 67 x 59 x 199 = 79954801080
Therefore, the lowest common multiple of 840,726,804,236,398 is 79954801080.
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.
840 x 726 x 804 x 236 x 398 = 46053965422080
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.
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
236 : 1, 2, 4, 59, 118, 236
398 : 1, 2, 199, 398
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 840,726,804,236,398, is 2.
Now, the common factors can be found like this.
840:2x 2x 2x 3x 5x 7
726:2x 3x 11x 11
804:2x 2x 3x 67
236:2x 2x 59
398:2x 199
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 2x 3x 3 = 288
Therefore, the value for common factors is 288.
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 = 46053965422080/(2x288)
LCM = 46053965422080/576
LCM = 79954801080
Thus, we can understand that the LCM of 840,726,804,236,398 is 79954801080.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 840, 726, 804, 236, 398?
Answer: LCM of 840, 726, 804, 236, 398 is 79954801080.
2. How to calculate the LCM of 840, 726, 804, 236, 398?
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 840, 726, 804, 236, 398.
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}.